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Finding the Fourth Proportional to 4,288.90, 5,913.18 and 3,403.14

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Solution

The fourth proportional to 4,288.90, 5,913.18 and 3,403.14 is: 4,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.90 : 5,913.18 = 3,403.14 : x
  2. Step 2: Convert to fraction form
    4,288.90/5,913.18 = 3,403.14/x
  3. Step 3: Cross multiply
    4,288.90x = 5,913.18 × 3,403.14
  4. Step 4: Simplify right side
    4,288.90x = 20,123,379.39
  5. Step 5: Solve for x
    x = 20,123,379.39/4,288.90
  6. Step 6: Final answer
    x = 4,691.97

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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.