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Finding the Fourth Proportional to 3,281.76, 4,914.54 and 2,545.20

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Solution

The fourth proportional to 3,281.76, 4,914.54 and 2,545.20 is: 3,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.76 : 4,914.54 = 2,545.20 : x
  2. Step 2: Convert to fraction form
    3,281.76/4,914.54 = 2,545.20/x
  3. Step 3: Cross multiply
    3,281.76x = 4,914.54 × 2,545.20
  4. Step 4: Simplify right side
    3,281.76x = 12,508,487.21
  5. Step 5: Solve for x
    x = 12,508,487.21/3,281.76
  6. Step 6: Final answer
    x = 3,811.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.