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Finding the Fourth Proportional to 3,565.66, 5,348.97 and 1,256.62

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Solution

The fourth proportional to 3,565.66, 5,348.97 and 1,256.62 is: 1,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.66 : 5,348.97 = 1,256.62 : x
  2. Step 2: Convert to fraction form
    3,565.66/5,348.97 = 1,256.62/x
  3. Step 3: Cross multiply
    3,565.66x = 5,348.97 × 1,256.62
  4. Step 4: Simplify right side
    3,565.66x = 6,721,622.68
  5. Step 5: Solve for x
    x = 6,721,622.68/3,565.66
  6. Step 6: Final answer
    x = 1,885.10

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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.