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Finding the Fourth Proportional to 4,098.56, 5,655.92 and 2,235.60

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Solution

The fourth proportional to 4,098.56, 5,655.92 and 2,235.60 is: 3,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.56 : 5,655.92 = 2,235.60 : x
  2. Step 2: Convert to fraction form
    4,098.56/5,655.92 = 2,235.60/x
  3. Step 3: Cross multiply
    4,098.56x = 5,655.92 × 2,235.60
  4. Step 4: Simplify right side
    4,098.56x = 12,644,374.75
  5. Step 5: Solve for x
    x = 12,644,374.75/4,098.56
  6. Step 6: Final answer
    x = 3,085.08

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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.