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Finding the Fourth Proportional to 5,677.29, 7,834.77 and 3,159.45

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Solution

The fourth proportional to 5,677.29, 7,834.77 and 3,159.45 is: 4,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.29 : 7,834.77 = 3,159.45 : x
  2. Step 2: Convert to fraction form
    5,677.29/7,834.77 = 3,159.45/x
  3. Step 3: Cross multiply
    5,677.29x = 7,834.77 × 3,159.45
  4. Step 4: Simplify right side
    5,677.29x = 24,753,564.08
  5. Step 5: Solve for x
    x = 24,753,564.08/5,677.29
  6. Step 6: Final answer
    x = 4,360.10

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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.