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Finding the Fourth Proportional to 5,693.76, 8,532 and 2,229.12

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Solution

The fourth proportional to 5,693.76, 8,532 and 2,229.12 is: 3,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.76 : 8,532 = 2,229.12 : x
  2. Step 2: Convert to fraction form
    5,693.76/8,532 = 2,229.12/x
  3. Step 3: Cross multiply
    5,693.76x = 8,532 × 2,229.12
  4. Step 4: Simplify right side
    5,693.76x = 19,018,851.84
  5. Step 5: Solve for x
    x = 19,018,851.84/5,693.76
  6. Step 6: Final answer
    x = 3,340.30

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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.