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Finding the Fourth Proportional to 4,182.49, 6,274.76 and 2,952.30

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Solution

The fourth proportional to 4,182.49, 6,274.76 and 2,952.30 is: 4,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.49 : 6,274.76 = 2,952.30 : x
  2. Step 2: Convert to fraction form
    4,182.49/6,274.76 = 2,952.30/x
  3. Step 3: Cross multiply
    4,182.49x = 6,274.76 × 2,952.30
  4. Step 4: Simplify right side
    4,182.49x = 18,524,973.95
  5. Step 5: Solve for x
    x = 18,524,973.95/4,182.49
  6. Step 6: Final answer
    x = 4,429.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.