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Finding the Fourth Proportional to 5,677.17, 7,834.77 and 3,287.40

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Solution

The fourth proportional to 5,677.17, 7,834.77 and 3,287.40 is: 4,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.17 : 7,834.77 = 3,287.40 : x
  2. Step 2: Convert to fraction form
    5,677.17/7,834.77 = 3,287.40/x
  3. Step 3: Cross multiply
    5,677.17x = 7,834.77 × 3,287.40
  4. Step 4: Simplify right side
    5,677.17x = 25,756,022.90
  5. Step 5: Solve for x
    x = 25,756,022.90/5,677.17
  6. Step 6: Final answer
    x = 4,536.77

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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.