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Finding the Fourth Proportional to 4,099.52, 6,149.74 and 1,502.45

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Solution

The fourth proportional to 4,099.52, 6,149.74 and 1,502.45 is: 2,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.52 : 6,149.74 = 1,502.45 : x
  2. Step 2: Convert to fraction form
    4,099.52/6,149.74 = 1,502.45/x
  3. Step 3: Cross multiply
    4,099.52x = 6,149.74 × 1,502.45
  4. Step 4: Simplify right side
    4,099.52x = 9,239,676.86
  5. Step 5: Solve for x
    x = 9,239,676.86/4,099.52
  6. Step 6: Final answer
    x = 2,253.84

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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.