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Finding the Fourth Proportional to 5,462.34, 7,536.90 and 3,472.17

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Solution

The fourth proportional to 5,462.34, 7,536.90 and 3,472.17 is: 4,790.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.34 : 7,536.90 = 3,472.17 : x
  2. Step 2: Convert to fraction form
    5,462.34/7,536.90 = 3,472.17/x
  3. Step 3: Cross multiply
    5,462.34x = 7,536.90 × 3,472.17
  4. Step 4: Simplify right side
    5,462.34x = 26,169,398.07
  5. Step 5: Solve for x
    x = 26,169,398.07/5,462.34
  6. Step 6: Final answer
    x = 4,790.88

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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.