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Finding the Fourth Proportional to 3,641.35, 5,462.57 and 1,175.71

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Solution

The fourth proportional to 3,641.35, 5,462.57 and 1,175.71 is: 1,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.35 : 5,462.57 = 1,175.71 : x
  2. Step 2: Convert to fraction form
    3,641.35/5,462.57 = 1,175.71/x
  3. Step 3: Cross multiply
    3,641.35x = 5,462.57 × 1,175.71
  4. Step 4: Simplify right side
    3,641.35x = 6,422,398.17
  5. Step 5: Solve for x
    x = 6,422,398.17/3,641.35
  6. Step 6: Final answer
    x = 1,763.74

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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.