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Finding the Fourth Proportional to 4,487.88, 6,732.66 and 1,566.12

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Solution

The fourth proportional to 4,487.88, 6,732.66 and 1,566.12 is: 2,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.88 : 6,732.66 = 1,566.12 : x
  2. Step 2: Convert to fraction form
    4,487.88/6,732.66 = 1,566.12/x
  3. Step 3: Cross multiply
    4,487.88x = 6,732.66 × 1,566.12
  4. Step 4: Simplify right side
    4,487.88x = 10,544,153.48
  5. Step 5: Solve for x
    x = 10,544,153.48/4,487.88
  6. Step 6: Final answer
    x = 2,349.47

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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.