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Finding the Fourth Proportional to 4,757.52, 6,565.68 and 2,661.80

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Solution

The fourth proportional to 4,757.52, 6,565.68 and 2,661.80 is: 3,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.52 : 6,565.68 = 2,661.80 : x
  2. Step 2: Convert to fraction form
    4,757.52/6,565.68 = 2,661.80/x
  3. Step 3: Cross multiply
    4,757.52x = 6,565.68 × 2,661.80
  4. Step 4: Simplify right side
    4,757.52x = 17,476,527.02
  5. Step 5: Solve for x
    x = 17,476,527.02/4,757.52
  6. Step 6: Final answer
    x = 3,673.45

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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.