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Finding the Fourth Proportional to 3,293.64, 4,543.14 and 2,298.56

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Solution

The fourth proportional to 3,293.64, 4,543.14 and 2,298.56 is: 3,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.64 : 4,543.14 = 2,298.56 : x
  2. Step 2: Convert to fraction form
    3,293.64/4,543.14 = 2,298.56/x
  3. Step 3: Cross multiply
    3,293.64x = 4,543.14 × 2,298.56
  4. Step 4: Simplify right side
    3,293.64x = 10,442,645.67
  5. Step 5: Solve for x
    x = 10,442,645.67/3,293.64
  6. Step 6: Final answer
    x = 3,170.55

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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.