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Finding the Fourth Proportional to 3,772.34, 5,657.11 and 1,306.50

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Solution

The fourth proportional to 3,772.34, 5,657.11 and 1,306.50 is: 1,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.34 : 5,657.11 = 1,306.50 : x
  2. Step 2: Convert to fraction form
    3,772.34/5,657.11 = 1,306.50/x
  3. Step 3: Cross multiply
    3,772.34x = 5,657.11 × 1,306.50
  4. Step 4: Simplify right side
    3,772.34x = 7,391,014.22
  5. Step 5: Solve for x
    x = 7,391,014.22/3,772.34
  6. Step 6: Final answer
    x = 1,959.27

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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.