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Finding the Fourth Proportional to 3,437.68, 5,156.80 and 1,098.02

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Solution

The fourth proportional to 3,437.68, 5,156.80 and 1,098.02 is: 1,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.68 : 5,156.80 = 1,098.02 : x
  2. Step 2: Convert to fraction form
    3,437.68/5,156.80 = 1,098.02/x
  3. Step 3: Cross multiply
    3,437.68x = 5,156.80 × 1,098.02
  4. Step 4: Simplify right side
    3,437.68x = 5,662,262.56
  5. Step 5: Solve for x
    x = 5,662,262.56/3,437.68
  6. Step 6: Final answer
    x = 1,647.12

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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.