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Finding the Fourth Proportional to 5,279.16, 7,916.84 and 2,505.30

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Solution

The fourth proportional to 5,279.16, 7,916.84 and 2,505.30 is: 3,757.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.16 : 7,916.84 = 2,505.30 : x
  2. Step 2: Convert to fraction form
    5,279.16/7,916.84 = 2,505.30/x
  3. Step 3: Cross multiply
    5,279.16x = 7,916.84 × 2,505.30
  4. Step 4: Simplify right side
    5,279.16x = 19,834,059.25
  5. Step 5: Solve for x
    x = 19,834,059.25/5,279.16
  6. Step 6: Final answer
    x = 3,757.05

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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.