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Finding the Fourth Proportional to 4,098.48, 6,148.80 and 2,644.80

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Solution

The fourth proportional to 4,098.48, 6,148.80 and 2,644.80 is: 3,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.48 : 6,148.80 = 2,644.80 : x
  2. Step 2: Convert to fraction form
    4,098.48/6,148.80 = 2,644.80/x
  3. Step 3: Cross multiply
    4,098.48x = 6,148.80 × 2,644.80
  4. Step 4: Simplify right side
    4,098.48x = 16,262,346.24
  5. Step 5: Solve for x
    x = 16,262,346.24/4,098.48
  6. Step 6: Final answer
    x = 3,967.90

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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.