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Finding the Fourth Proportional to 5,497, 7,585.86 and 3,013.16

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Solution

The fourth proportional to 5,497, 7,585.86 and 3,013.16 is: 4,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497 : 7,585.86 = 3,013.16 : x
  2. Step 2: Convert to fraction form
    5,497/7,585.86 = 3,013.16/x
  3. Step 3: Cross multiply
    5,497x = 7,585.86 × 3,013.16
  4. Step 4: Simplify right side
    5,497x = 22,857,409.92
  5. Step 5: Solve for x
    x = 22,857,409.92/5,497
  6. Step 6: Final answer
    x = 4,158.16

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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.