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Finding the Fourth Proportional to 3,543.18, 4,854.20 and 3,410.20

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Solution

The fourth proportional to 3,543.18, 4,854.20 and 3,410.20 is: 4,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.18 : 4,854.20 = 3,410.20 : x
  2. Step 2: Convert to fraction form
    3,543.18/4,854.20 = 3,410.20/x
  3. Step 3: Cross multiply
    3,543.18x = 4,854.20 × 3,410.20
  4. Step 4: Simplify right side
    3,543.18x = 16,553,792.84
  5. Step 5: Solve for x
    x = 16,553,792.84/3,543.18
  6. Step 6: Final answer
    x = 4,672.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.