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Finding the Fourth Proportional to 4,098.42, 6,148.02 and 1,501.56

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Solution

The fourth proportional to 4,098.42, 6,148.02 and 1,501.56 is: 2,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.42 : 6,148.02 = 1,501.56 : x
  2. Step 2: Convert to fraction form
    4,098.42/6,148.02 = 1,501.56/x
  3. Step 3: Cross multiply
    4,098.42x = 6,148.02 × 1,501.56
  4. Step 4: Simplify right side
    4,098.42x = 9,231,620.91
  5. Step 5: Solve for x
    x = 9,231,620.91/4,098.42
  6. Step 6: Final answer
    x = 2,252.48

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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.