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Finding the Fourth Proportional to 4,565.28, 6,835.68 and 3,175.68

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Solution

The fourth proportional to 4,565.28, 6,835.68 and 3,175.68 is: 4,755.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.28 : 6,835.68 = 3,175.68 : x
  2. Step 2: Convert to fraction form
    4,565.28/6,835.68 = 3,175.68/x
  3. Step 3: Cross multiply
    4,565.28x = 6,835.68 × 3,175.68
  4. Step 4: Simplify right side
    4,565.28x = 21,707,932.26
  5. Step 5: Solve for x
    x = 21,707,932.26/4,565.28
  6. Step 6: Final answer
    x = 4,755.01

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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.