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Finding the Fourth Proportional to 5,447.34, 7,516.33 and 3,657.42

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Solution

The fourth proportional to 5,447.34, 7,516.33 and 3,657.42 is: 5,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.34 : 7,516.33 = 3,657.42 : x
  2. Step 2: Convert to fraction form
    5,447.34/7,516.33 = 3,657.42/x
  3. Step 3: Cross multiply
    5,447.34x = 7,516.33 × 3,657.42
  4. Step 4: Simplify right side
    5,447.34x = 27,490,370.84
  5. Step 5: Solve for x
    x = 27,490,370.84/5,447.34
  6. Step 6: Final answer
    x = 5,046.57

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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.