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Finding the Fourth Proportional to 3,752.32, 5,627.94 and 1,560.76

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Solution

The fourth proportional to 3,752.32, 5,627.94 and 1,560.76 is: 2,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.32 : 5,627.94 = 1,560.76 : x
  2. Step 2: Convert to fraction form
    3,752.32/5,627.94 = 1,560.76/x
  3. Step 3: Cross multiply
    3,752.32x = 5,627.94 × 1,560.76
  4. Step 4: Simplify right side
    3,752.32x = 8,783,863.63
  5. Step 5: Solve for x
    x = 8,783,863.63/3,752.32
  6. Step 6: Final answer
    x = 2,340.92

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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.