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Finding the Fourth Proportional to 3,454.67, 5,182.52 and 1,113.91

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Solution

The fourth proportional to 3,454.67, 5,182.52 and 1,113.91 is: 1,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.67 : 5,182.52 = 1,113.91 : x
  2. Step 2: Convert to fraction form
    3,454.67/5,182.52 = 1,113.91/x
  3. Step 3: Cross multiply
    3,454.67x = 5,182.52 × 1,113.91
  4. Step 4: Simplify right side
    3,454.67x = 5,772,834.94
  5. Step 5: Solve for x
    x = 5,772,834.94/3,454.67
  6. Step 6: Final answer
    x = 1,671.02

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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.