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Finding the Fourth Proportional to 5,642,482.23, 7,789,008.96 and 3,809,423.34

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Solution

The fourth proportional to 5,642,482.23, 7,789,008.96 and 3,809,423.34 is: 5,258,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,482.23 : 7,789,008.96 = 3,809,423.34 : x
  2. Step 2: Convert to fraction form
    5,642,482.23/7,789,008.96 = 3,809,423.34/x
  3. Step 3: Cross multiply
    5,642,482.23x = 7,789,008.96 × 3,809,423.34
  4. Step 4: Simplify right side
    5,642,482.23x = 29,671,632,527,693.12
  5. Step 5: Solve for x
    x = 29,671,632,527,693.12/5,642,482.23
  6. Step 6: Final answer
    x = 5,258,613.38

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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.