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Finding the Fourth Proportional to 5,497.57, 7,587.12 and 3,140.47

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Solution

The fourth proportional to 5,497.57, 7,587.12 and 3,140.47 is: 4,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.57 : 7,587.12 = 3,140.47 : x
  2. Step 2: Convert to fraction form
    5,497.57/7,587.12 = 3,140.47/x
  3. Step 3: Cross multiply
    5,497.57x = 7,587.12 × 3,140.47
  4. Step 4: Simplify right side
    5,497.57x = 23,827,122.75
  5. Step 5: Solve for x
    x = 23,827,122.75/5,497.57
  6. Step 6: Final answer
    x = 4,334.12

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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.