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Finding the Fourth Proportional to 5,657.13, 7,806.83 and 3,139.25

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Solution

The fourth proportional to 5,657.13, 7,806.83 and 3,139.25 is: 4,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.13 : 7,806.83 = 3,139.25 : x
  2. Step 2: Convert to fraction form
    5,657.13/7,806.83 = 3,139.25/x
  3. Step 3: Cross multiply
    5,657.13x = 7,806.83 × 3,139.25
  4. Step 4: Simplify right side
    5,657.13x = 24,507,536.35
  5. Step 5: Solve for x
    x = 24,507,536.35/5,657.13
  6. Step 6: Final answer
    x = 4,332.15

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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.