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Finding the Fourth Proportional to 5,657.40, 7,807.37 and 3,139.63

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Solution

The fourth proportional to 5,657.40, 7,807.37 and 3,139.63 is: 4,332.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.40 : 7,807.37 = 3,139.63 : x
  2. Step 2: Convert to fraction form
    5,657.40/7,807.37 = 3,139.63/x
  3. Step 3: Cross multiply
    5,657.40x = 7,807.37 × 3,139.63
  4. Step 4: Simplify right side
    5,657.40x = 24,512,217.86
  5. Step 5: Solve for x
    x = 24,512,217.86/5,657.40
  6. Step 6: Final answer
    x = 4,332.77

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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.