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Finding the Fourth Proportional to 5,125.84, 7,690.28 and 2,164.57

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Solution

The fourth proportional to 5,125.84, 7,690.28 and 2,164.57 is: 3,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.84 : 7,690.28 = 2,164.57 : x
  2. Step 2: Convert to fraction form
    5,125.84/7,690.28 = 2,164.57/x
  3. Step 3: Cross multiply
    5,125.84x = 7,690.28 × 2,164.57
  4. Step 4: Simplify right side
    5,125.84x = 16,646,149.38
  5. Step 5: Solve for x
    x = 16,646,149.38/5,125.84
  6. Step 6: Final answer
    x = 3,247.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.