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Finding the Fourth Proportional to 5,496.53, 7,585.18 and 3,138.68

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Solution

The fourth proportional to 5,496.53, 7,585.18 and 3,138.68 is: 4,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.53 : 7,585.18 = 3,138.68 : x
  2. Step 2: Convert to fraction form
    5,496.53/7,585.18 = 3,138.68/x
  3. Step 3: Cross multiply
    5,496.53x = 7,585.18 × 3,138.68
  4. Step 4: Simplify right side
    5,496.53x = 23,807,414.84
  5. Step 5: Solve for x
    x = 23,807,414.84/5,496.53
  6. Step 6: Final answer
    x = 4,331.35

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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.