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Finding the Fourth Proportional to 5,307.50, 7,324.62 and 3,211.76

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Solution

The fourth proportional to 5,307.50, 7,324.62 and 3,211.76 is: 4,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.50 : 7,324.62 = 3,211.76 : x
  2. Step 2: Convert to fraction form
    5,307.50/7,324.62 = 3,211.76/x
  3. Step 3: Cross multiply
    5,307.50x = 7,324.62 × 3,211.76
  4. Step 4: Simplify right side
    5,307.50x = 23,524,921.53
  5. Step 5: Solve for x
    x = 23,524,921.53/5,307.50
  6. Step 6: Final answer
    x = 4,432.39

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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.