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Finding the Fourth Proportional to 5,164, 7,747.28 and 1,516

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Solution

The fourth proportional to 5,164, 7,747.28 and 1,516 is: 2,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164 : 7,747.28 = 1,516 : x
  2. Step 2: Convert to fraction form
    5,164/7,747.28 = 1,516/x
  3. Step 3: Cross multiply
    5,164x = 7,747.28 × 1,516
  4. Step 4: Simplify right side
    5,164x = 11,744,876.48
  5. Step 5: Solve for x
    x = 11,744,876.48/5,164
  6. Step 6: Final answer
    x = 2,274.38

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