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Finding the Fourth Proportional to 3,952.66, 5,930.02 and 1,487.50

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Solution

The fourth proportional to 3,952.66, 5,930.02 and 1,487.50 is: 2,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.66 : 5,930.02 = 1,487.50 : x
  2. Step 2: Convert to fraction form
    3,952.66/5,930.02 = 1,487.50/x
  3. Step 3: Cross multiply
    3,952.66x = 5,930.02 × 1,487.50
  4. Step 4: Simplify right side
    3,952.66x = 8,820,909.48
  5. Step 5: Solve for x
    x = 8,820,909.48/3,952.66
  6. Step 6: Final answer
    x = 2,231.64

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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.