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Finding the Fourth Proportional to 5,975.17, 8,972.78 and 4,494.39

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Solution

The fourth proportional to 5,975.17, 8,972.78 and 4,494.39 is: 6,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.17 : 8,972.78 = 4,494.39 : x
  2. Step 2: Convert to fraction form
    5,975.17/8,972.78 = 4,494.39/x
  3. Step 3: Cross multiply
    5,975.17x = 8,972.78 × 4,494.39
  4. Step 4: Simplify right side
    5,975.17x = 40,327,116.58
  5. Step 5: Solve for x
    x = 40,327,116.58/5,975.17
  6. Step 6: Final answer
    x = 6,749.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.