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Finding the Fourth Proportional to 3,293.38, 4,543.05 and 2,296.90

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Solution

The fourth proportional to 3,293.38, 4,543.05 and 2,296.90 is: 3,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.38 : 4,543.05 = 2,296.90 : x
  2. Step 2: Convert to fraction form
    3,293.38/4,543.05 = 2,296.90/x
  3. Step 3: Cross multiply
    3,293.38x = 4,543.05 × 2,296.90
  4. Step 4: Simplify right side
    3,293.38x = 10,434,931.55
  5. Step 5: Solve for x
    x = 10,434,931.55/3,293.38
  6. Step 6: Final answer
    x = 3,168.46

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Why These Related Problems?

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