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Finding the Fourth Proportional to 5,695.60, 7,850.95 and 4,277.24

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Solution

The fourth proportional to 5,695.60, 7,850.95 and 4,277.24 is: 5,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.60 : 7,850.95 = 4,277.24 : x
  2. Step 2: Convert to fraction form
    5,695.60/7,850.95 = 4,277.24/x
  3. Step 3: Cross multiply
    5,695.60x = 7,850.95 × 4,277.24
  4. Step 4: Simplify right side
    5,695.60x = 33,580,397.38
  5. Step 5: Solve for x
    x = 33,580,397.38/5,695.60
  6. Step 6: Final answer
    x = 5,895.85

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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.