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Finding the Fourth Proportional to 4,560.62, 6,292.88 and 2,543.60

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Solution

The fourth proportional to 4,560.62, 6,292.88 and 2,543.60 is: 3,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.62 : 6,292.88 = 2,543.60 : x
  2. Step 2: Convert to fraction form
    4,560.62/6,292.88 = 2,543.60/x
  3. Step 3: Cross multiply
    4,560.62x = 6,292.88 × 2,543.60
  4. Step 4: Simplify right side
    4,560.62x = 16,006,569.57
  5. Step 5: Solve for x
    x = 16,006,569.57/4,560.62
  6. Step 6: Final answer
    x = 3,509.74

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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.