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Finding the Fourth Proportional to 5,642,496.95, 7,789,029.65 and 3,809,438.33

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Solution

The fourth proportional to 5,642,496.95, 7,789,029.65 and 3,809,438.33 is: 5,258,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,496.95 : 7,789,029.65 = 3,809,438.33 : x
  2. Step 2: Convert to fraction form
    5,642,496.95/7,789,029.65 = 3,809,438.33/x
  3. Step 3: Cross multiply
    5,642,496.95x = 7,789,029.65 × 3,809,438.33
  4. Step 4: Simplify right side
    5,642,496.95x = 29,671,828,044,224.14
  5. Step 5: Solve for x
    x = 29,671,828,044,224.14/5,642,496.95
  6. Step 6: Final answer
    x = 5,258,634.31

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