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Finding the Fourth Proportional to 3,760.88, 5,642.52 and 1,295.84

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Solution

The fourth proportional to 3,760.88, 5,642.52 and 1,295.84 is: 1,944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.88 : 5,642.52 = 1,295.84 : x
  2. Step 2: Convert to fraction form
    3,760.88/5,642.52 = 1,295.84/x
  3. Step 3: Cross multiply
    3,760.88x = 5,642.52 × 1,295.84
  4. Step 4: Simplify right side
    3,760.88x = 7,311,774.90
  5. Step 5: Solve for x
    x = 7,311,774.90/3,760.88
  6. Step 6: Final answer
    x = 1,944.16

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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.