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Finding the Fourth Proportional to 4,614.64, 6,375.04 and 4,264.72

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Solution

The fourth proportional to 4,614.64, 6,375.04 and 4,264.72 is: 5,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.64 : 6,375.04 = 4,264.72 : x
  2. Step 2: Convert to fraction form
    4,614.64/6,375.04 = 4,264.72/x
  3. Step 3: Cross multiply
    4,614.64x = 6,375.04 × 4,264.72
  4. Step 4: Simplify right side
    4,614.64x = 27,187,733.99
  5. Step 5: Solve for x
    x = 27,187,733.99/4,614.64
  6. Step 6: Final answer
    x = 5,891.63

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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.