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Finding the Fourth Proportional to 3,472.20, 4,781.43 and 2,941.88

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Solution

The fourth proportional to 3,472.20, 4,781.43 and 2,941.88 is: 4,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.20 : 4,781.43 = 2,941.88 : x
  2. Step 2: Convert to fraction form
    3,472.20/4,781.43 = 2,941.88/x
  3. Step 3: Cross multiply
    3,472.20x = 4,781.43 × 2,941.88
  4. Step 4: Simplify right side
    3,472.20x = 14,066,369.38
  5. Step 5: Solve for x
    x = 14,066,369.38/3,472.20
  6. Step 6: Final answer
    x = 4,051.14

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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.