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Finding the Fourth Proportional to 3,293.64, 4,543.92 and 2,175.15

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Solution

The fourth proportional to 3,293.64, 4,543.92 and 2,175.15 is: 3,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.64 : 4,543.92 = 2,175.15 : x
  2. Step 2: Convert to fraction form
    3,293.64/4,543.92 = 2,175.15/x
  3. Step 3: Cross multiply
    3,293.64x = 4,543.92 × 2,175.15
  4. Step 4: Simplify right side
    3,293.64x = 9,883,707.59
  5. Step 5: Solve for x
    x = 9,883,707.59/3,293.64
  6. Step 6: Final answer
    x = 3,000.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.