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Finding the Fourth Proportional to 5,642,476.93, 7,789,001.75 and 3,809,418.18

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Solution

The fourth proportional to 5,642,476.93, 7,789,001.75 and 3,809,418.18 is: 5,258,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,476.93 : 7,789,001.75 = 3,809,418.18 : x
  2. Step 2: Convert to fraction form
    5,642,476.93/7,789,001.75 = 3,809,418.18/x
  3. Step 3: Cross multiply
    5,642,476.93x = 7,789,001.75 × 3,809,418.18
  4. Step 4: Simplify right side
    5,642,476.93x = 29,671,564,870,501.82
  5. Step 5: Solve for x
    x = 29,671,564,870,501.82/5,642,476.93
  6. Step 6: Final answer
    x = 5,258,606.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.