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Finding the Fourth Proportional to 4,757.44, 6,565.28 and 2,661.56

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Solution

The fourth proportional to 4,757.44, 6,565.28 and 2,661.56 is: 3,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.44 : 6,565.28 = 2,661.56 : x
  2. Step 2: Convert to fraction form
    4,757.44/6,565.28 = 2,661.56/x
  3. Step 3: Cross multiply
    4,757.44x = 6,565.28 × 2,661.56
  4. Step 4: Simplify right side
    4,757.44x = 17,473,886.64
  5. Step 5: Solve for x
    x = 17,473,886.64/4,757.44
  6. Step 6: Final answer
    x = 3,672.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.