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Finding the Fourth Proportional to 4,071.50, 6,116.97 and 2,613.50

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Solution

The fourth proportional to 4,071.50, 6,116.97 and 2,613.50 is: 3,926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.50 : 6,116.97 = 2,613.50 : x
  2. Step 2: Convert to fraction form
    4,071.50/6,116.97 = 2,613.50/x
  3. Step 3: Cross multiply
    4,071.50x = 6,116.97 × 2,613.50
  4. Step 4: Simplify right side
    4,071.50x = 15,986,701.10
  5. Step 5: Solve for x
    x = 15,986,701.10/4,071.50
  6. Step 6: Final answer
    x = 3,926.49

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Why These Related Problems?

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