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Finding the Fourth Proportional to 3,658.46, 5,048.75 and 2,165.82

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Solution

The fourth proportional to 3,658.46, 5,048.75 and 2,165.82 is: 2,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.46 : 5,048.75 = 2,165.82 : x
  2. Step 2: Convert to fraction form
    3,658.46/5,048.75 = 2,165.82/x
  3. Step 3: Cross multiply
    3,658.46x = 5,048.75 × 2,165.82
  4. Step 4: Simplify right side
    3,658.46x = 10,934,672.90
  5. Step 5: Solve for x
    x = 10,934,672.90/3,658.46
  6. Step 6: Final answer
    x = 2,988.88

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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.