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Finding the Fourth Proportional to 4,543.76, 6,268.92 and 2,972.90

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Solution

The fourth proportional to 4,543.76, 6,268.92 and 2,972.90 is: 4,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.76 : 6,268.92 = 2,972.90 : x
  2. Step 2: Convert to fraction form
    4,543.76/6,268.92 = 2,972.90/x
  3. Step 3: Cross multiply
    4,543.76x = 6,268.92 × 2,972.90
  4. Step 4: Simplify right side
    4,543.76x = 18,636,872.27
  5. Step 5: Solve for x
    x = 18,636,872.27/4,543.76
  6. Step 6: Final answer
    x = 4,101.64

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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.