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Finding the Fourth Proportional to 4,754.64, 7,132.14 and 1,291.86

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Solution

The fourth proportional to 4,754.64, 7,132.14 and 1,291.86 is: 1,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.64 : 7,132.14 = 1,291.86 : x
  2. Step 2: Convert to fraction form
    4,754.64/7,132.14 = 1,291.86/x
  3. Step 3: Cross multiply
    4,754.64x = 7,132.14 × 1,291.86
  4. Step 4: Simplify right side
    4,754.64x = 9,213,726.38
  5. Step 5: Solve for x
    x = 9,213,726.38/4,754.64
  6. Step 6: Final answer
    x = 1,937.84

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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.