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Finding the Fourth Proportional to 4,098.29, 5,655.64 and 2,235.29

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Solution

The fourth proportional to 4,098.29, 5,655.64 and 2,235.29 is: 3,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.29 : 5,655.64 = 2,235.29 : x
  2. Step 2: Convert to fraction form
    4,098.29/5,655.64 = 2,235.29/x
  3. Step 3: Cross multiply
    4,098.29x = 5,655.64 × 2,235.29
  4. Step 4: Simplify right side
    4,098.29x = 12,641,961.67
  5. Step 5: Solve for x
    x = 12,641,961.67/4,098.29
  6. Step 6: Final answer
    x = 3,084.70

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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.