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Finding the Fourth Proportional to 3,614.76, 4,987.17 and 2,287.98

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Solution

The fourth proportional to 3,614.76, 4,987.17 and 2,287.98 is: 3,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.76 : 4,987.17 = 2,287.98 : x
  2. Step 2: Convert to fraction form
    3,614.76/4,987.17 = 2,287.98/x
  3. Step 3: Cross multiply
    3,614.76x = 4,987.17 × 2,287.98
  4. Step 4: Simplify right side
    3,614.76x = 11,410,545.22
  5. Step 5: Solve for x
    x = 11,410,545.22/3,614.76
  6. Step 6: Final answer
    x = 3,156.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.