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Finding the Fourth Proportional to 5,165.76, 7,130.93 and 3,489.44

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Solution

The fourth proportional to 5,165.76, 7,130.93 and 3,489.44 is: 4,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.76 : 7,130.93 = 3,489.44 : x
  2. Step 2: Convert to fraction form
    5,165.76/7,130.93 = 3,489.44/x
  3. Step 3: Cross multiply
    5,165.76x = 7,130.93 × 3,489.44
  4. Step 4: Simplify right side
    5,165.76x = 24,882,952.38
  5. Step 5: Solve for x
    x = 24,882,952.38/5,165.76
  6. Step 6: Final answer
    x = 4,816.90

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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.