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Finding the Fourth Proportional to 5,695.45, 8,548.54 and 4,115.75

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Solution

The fourth proportional to 5,695.45, 8,548.54 and 4,115.75 is: 6,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.45 : 8,548.54 = 4,115.75 : x
  2. Step 2: Convert to fraction form
    5,695.45/8,548.54 = 4,115.75/x
  3. Step 3: Cross multiply
    5,695.45x = 8,548.54 × 4,115.75
  4. Step 4: Simplify right side
    5,695.45x = 35,183,600.47
  5. Step 5: Solve for x
    x = 35,183,600.47/5,695.45
  6. Step 6: Final answer
    x = 6,177.50

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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.