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Finding the Fourth Proportional to 5,072.58, 7,609.17 and 2,865.53

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Solution

The fourth proportional to 5,072.58, 7,609.17 and 2,865.53 is: 4,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.58 : 7,609.17 = 2,865.53 : x
  2. Step 2: Convert to fraction form
    5,072.58/7,609.17 = 2,865.53/x
  3. Step 3: Cross multiply
    5,072.58x = 7,609.17 × 2,865.53
  4. Step 4: Simplify right side
    5,072.58x = 21,804,266.86
  5. Step 5: Solve for x
    x = 21,804,266.86/5,072.58
  6. Step 6: Final answer
    x = 4,298.46

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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.