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Finding the Fourth Proportional to 4,543.32, 6,814.98 and 2,487

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Solution

The fourth proportional to 4,543.32, 6,814.98 and 2,487 is: 3,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.32 : 6,814.98 = 2,487 : x
  2. Step 2: Convert to fraction form
    4,543.32/6,814.98 = 2,487/x
  3. Step 3: Cross multiply
    4,543.32x = 6,814.98 × 2,487
  4. Step 4: Simplify right side
    4,543.32x = 16,948,855.26
  5. Step 5: Solve for x
    x = 16,948,855.26/4,543.32
  6. Step 6: Final answer
    x = 3,730.50

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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.