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Finding the Fourth Proportional to 5,278.08, 7,917.11 and 1,580.31

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Solution

The fourth proportional to 5,278.08, 7,917.11 and 1,580.31 is: 2,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.08 : 7,917.11 = 1,580.31 : x
  2. Step 2: Convert to fraction form
    5,278.08/7,917.11 = 1,580.31/x
  3. Step 3: Cross multiply
    5,278.08x = 7,917.11 × 1,580.31
  4. Step 4: Simplify right side
    5,278.08x = 12,511,480.20
  5. Step 5: Solve for x
    x = 12,511,480.20/5,278.08
  6. Step 6: Final answer
    x = 2,370.46

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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.