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Finding the Fourth Proportional to 5,517, 7,591.14 and 5,325.48

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Solution

The fourth proportional to 5,517, 7,591.14 and 5,325.48 is: 7,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517 : 7,591.14 = 5,325.48 : x
  2. Step 2: Convert to fraction form
    5,517/7,591.14 = 5,325.48/x
  3. Step 3: Cross multiply
    5,517x = 7,591.14 × 5,325.48
  4. Step 4: Simplify right side
    5,517x = 40,426,464.25
  5. Step 5: Solve for x
    x = 40,426,464.25/5,517
  6. Step 6: Final answer
    x = 7,327.62

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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.