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Finding the Fourth Proportional to 3,672, 5,508.09 and 3,148.74

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Solution

The fourth proportional to 3,672, 5,508.09 and 3,148.74 is: 4,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672 : 5,508.09 = 3,148.74 : x
  2. Step 2: Convert to fraction form
    3,672/5,508.09 = 3,148.74/x
  3. Step 3: Cross multiply
    3,672x = 5,508.09 × 3,148.74
  4. Step 4: Simplify right side
    3,672x = 17,343,543.31
  5. Step 5: Solve for x
    x = 17,343,543.31/3,672
  6. Step 6: Final answer
    x = 4,723.19

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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.