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Finding the Fourth Proportional to 3,493.47, 4,822.12 and 2,237.91

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Solution

The fourth proportional to 3,493.47, 4,822.12 and 2,237.91 is: 3,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.47 : 4,822.12 = 2,237.91 : x
  2. Step 2: Convert to fraction form
    3,493.47/4,822.12 = 2,237.91/x
  3. Step 3: Cross multiply
    3,493.47x = 4,822.12 × 2,237.91
  4. Step 4: Simplify right side
    3,493.47x = 10,791,470.57
  5. Step 5: Solve for x
    x = 10,791,470.57/3,493.47
  6. Step 6: Final answer
    x = 3,089.04

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1.5x scale

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.