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Finding the Fourth Proportional to 3,853.72, 5,320.10 and 2,672.74

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Solution

The fourth proportional to 3,853.72, 5,320.10 and 2,672.74 is: 3,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.72 : 5,320.10 = 2,672.74 : x
  2. Step 2: Convert to fraction form
    3,853.72/5,320.10 = 2,672.74/x
  3. Step 3: Cross multiply
    3,853.72x = 5,320.10 × 2,672.74
  4. Step 4: Simplify right side
    3,853.72x = 14,219,244.07
  5. Step 5: Solve for x
    x = 14,219,244.07/3,853.72
  6. Step 6: Final answer
    x = 3,689.74

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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.