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Finding the Fourth Proportional to 5,524.95, 7,627.25 and 4,263.17

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Solution

The fourth proportional to 5,524.95, 7,627.25 and 4,263.17 is: 5,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.95 : 7,627.25 = 4,263.17 : x
  2. Step 2: Convert to fraction form
    5,524.95/7,627.25 = 4,263.17/x
  3. Step 3: Cross multiply
    5,524.95x = 7,627.25 × 4,263.17
  4. Step 4: Simplify right side
    5,524.95x = 32,516,263.38
  5. Step 5: Solve for x
    x = 32,516,263.38/5,524.95
  6. Step 6: Final answer
    x = 5,885.35

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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.