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Finding the Fourth Proportional to 5,656.43, 7,806.30 and 3,139.02

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Solution

The fourth proportional to 5,656.43, 7,806.30 and 3,139.02 is: 4,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.43 : 7,806.30 = 3,139.02 : x
  2. Step 2: Convert to fraction form
    5,656.43/7,806.30 = 3,139.02/x
  3. Step 3: Cross multiply
    5,656.43x = 7,806.30 × 3,139.02
  4. Step 4: Simplify right side
    5,656.43x = 24,504,120.16
  5. Step 5: Solve for x
    x = 24,504,120.16/5,656.43
  6. Step 6: Final answer
    x = 4,332.08

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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.