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Finding the Fourth Proportional to 4,701.16, 6,472.80 and 3,991.53

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Solution

The fourth proportional to 4,701.16, 6,472.80 and 3,991.53 is: 5,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.16 : 6,472.80 = 3,991.53 : x
  2. Step 2: Convert to fraction form
    4,701.16/6,472.80 = 3,991.53/x
  3. Step 3: Cross multiply
    4,701.16x = 6,472.80 × 3,991.53
  4. Step 4: Simplify right side
    4,701.16x = 25,836,375.38
  5. Step 5: Solve for x
    x = 25,836,375.38/4,701.16
  6. Step 6: Final answer
    x = 5,495.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.