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Finding the Fourth Proportional to 3,113.72, 4,671.48 and 1,382.72

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Solution

The fourth proportional to 3,113.72, 4,671.48 and 1,382.72 is: 2,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.72 : 4,671.48 = 1,382.72 : x
  2. Step 2: Convert to fraction form
    3,113.72/4,671.48 = 1,382.72/x
  3. Step 3: Cross multiply
    3,113.72x = 4,671.48 × 1,382.72
  4. Step 4: Simplify right side
    3,113.72x = 6,459,348.83
  5. Step 5: Solve for x
    x = 6,459,348.83/3,113.72
  6. Step 6: Final answer
    x = 2,074.48

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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.