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Finding the Fourth Proportional to 3,655.43, 5,042.86 and 2,238.64

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Solution

The fourth proportional to 3,655.43, 5,042.86 and 2,238.64 is: 3,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.43 : 5,042.86 = 2,238.64 : x
  2. Step 2: Convert to fraction form
    3,655.43/5,042.86 = 2,238.64/x
  3. Step 3: Cross multiply
    3,655.43x = 5,042.86 × 2,238.64
  4. Step 4: Simplify right side
    3,655.43x = 11,289,129.91
  5. Step 5: Solve for x
    x = 11,289,129.91/3,655.43
  6. Step 6: Final answer
    x = 3,088.32

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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.