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Finding the Fourth Proportional to 4,097.96, 5,655.22 and 2,235.08

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Solution

The fourth proportional to 4,097.96, 5,655.22 and 2,235.08 is: 3,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.96 : 5,655.22 = 2,235.08 : x
  2. Step 2: Convert to fraction form
    4,097.96/5,655.22 = 2,235.08/x
  3. Step 3: Cross multiply
    4,097.96x = 5,655.22 × 2,235.08
  4. Step 4: Simplify right side
    4,097.96x = 12,639,869.12
  5. Step 5: Solve for x
    x = 12,639,869.12/4,097.96
  6. Step 6: Final answer
    x = 3,084.43

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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.