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Finding the Fourth Proportional to 3,606.75, 4,978.33 and 2,414.03

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Solution

The fourth proportional to 3,606.75, 4,978.33 and 2,414.03 is: 3,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.75 : 4,978.33 = 2,414.03 : x
  2. Step 2: Convert to fraction form
    3,606.75/4,978.33 = 2,414.03/x
  3. Step 3: Cross multiply
    3,606.75x = 4,978.33 × 2,414.03
  4. Step 4: Simplify right side
    3,606.75x = 12,017,807.04
  5. Step 5: Solve for x
    x = 12,017,807.04/3,606.75
  6. Step 6: Final answer
    x = 3,332.03

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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.