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Finding the Fourth Proportional to 3,752.88, 5,630 and 1,287.94

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Solution

The fourth proportional to 3,752.88, 5,630 and 1,287.94 is: 1,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.88 : 5,630 = 1,287.94 : x
  2. Step 2: Convert to fraction form
    3,752.88/5,630 = 1,287.94/x
  3. Step 3: Cross multiply
    3,752.88x = 5,630 × 1,287.94
  4. Step 4: Simplify right side
    3,752.88x = 7,251,102.20
  5. Step 5: Solve for x
    x = 7,251,102.20/3,752.88
  6. Step 6: Final answer
    x = 1,932.14

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