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Finding the Fourth Proportional to 5,575.76, 7,695.92 and 3,219.28

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Solution

The fourth proportional to 5,575.76, 7,695.92 and 3,219.28 is: 4,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.76 : 7,695.92 = 3,219.28 : x
  2. Step 2: Convert to fraction form
    5,575.76/7,695.92 = 3,219.28/x
  3. Step 3: Cross multiply
    5,575.76x = 7,695.92 × 3,219.28
  4. Step 4: Simplify right side
    5,575.76x = 24,775,321.34
  5. Step 5: Solve for x
    x = 24,775,321.34/5,575.76
  6. Step 6: Final answer
    x = 4,443.40

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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.