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Finding the Fourth Proportional to 5,196.44, 7,757.62 and 5,014.16

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Solution

The fourth proportional to 5,196.44, 7,757.62 and 5,014.16 is: 7,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.44 : 7,757.62 = 5,014.16 : x
  2. Step 2: Convert to fraction form
    5,196.44/7,757.62 = 5,014.16/x
  3. Step 3: Cross multiply
    5,196.44x = 7,757.62 × 5,014.16
  4. Step 4: Simplify right side
    5,196.44x = 38,897,947.90
  5. Step 5: Solve for x
    x = 38,897,947.90/5,196.44
  6. Step 6: Final answer
    x = 7,485.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.