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Finding the Fourth Proportional to 3,752.14, 5,630.72 and 1,560.86

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Solution

The fourth proportional to 3,752.14, 5,630.72 and 1,560.86 is: 2,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.14 : 5,630.72 = 1,560.86 : x
  2. Step 2: Convert to fraction form
    3,752.14/5,630.72 = 1,560.86/x
  3. Step 3: Cross multiply
    3,752.14x = 5,630.72 × 1,560.86
  4. Step 4: Simplify right side
    3,752.14x = 8,788,765.62
  5. Step 5: Solve for x
    x = 8,788,765.62/3,752.14
  6. Step 6: Final answer
    x = 2,342.33

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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.