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Finding the Fourth Proportional to 3,952.49, 5,454.76 and 2,184.13

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Solution

The fourth proportional to 3,952.49, 5,454.76 and 2,184.13 is: 3,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.49 : 5,454.76 = 2,184.13 : x
  2. Step 2: Convert to fraction form
    3,952.49/5,454.76 = 2,184.13/x
  3. Step 3: Cross multiply
    3,952.49x = 5,454.76 × 2,184.13
  4. Step 4: Simplify right side
    3,952.49x = 11,913,877.69
  5. Step 5: Solve for x
    x = 11,913,877.69/3,952.49
  6. Step 6: Final answer
    x = 3,014.27

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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.