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Finding the Fourth Proportional to 4,098.42, 5,655.78 and 2,235.42

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Solution

The fourth proportional to 4,098.42, 5,655.78 and 2,235.42 is: 3,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.42 : 5,655.78 = 2,235.42 : x
  2. Step 2: Convert to fraction form
    4,098.42/5,655.78 = 2,235.42/x
  3. Step 3: Cross multiply
    4,098.42x = 5,655.78 × 2,235.42
  4. Step 4: Simplify right side
    4,098.42x = 12,643,043.73
  5. Step 5: Solve for x
    x = 12,643,043.73/4,098.42
  6. Step 6: Final answer
    x = 3,084.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.