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Finding the Fourth Proportional to 3,672.93, 5,497.10 and 3,014.78

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Solution

The fourth proportional to 3,672.93, 5,497.10 and 3,014.78 is: 4,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.93 : 5,497.10 = 3,014.78 : x
  2. Step 2: Convert to fraction form
    3,672.93/5,497.10 = 3,014.78/x
  3. Step 3: Cross multiply
    3,672.93x = 5,497.10 × 3,014.78
  4. Step 4: Simplify right side
    3,672.93x = 16,572,545.81
  5. Step 5: Solve for x
    x = 16,572,545.81/3,672.93
  6. Step 6: Final answer
    x = 4,512.08

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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.