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Finding the Fourth Proportional to 5,279.36, 7,917.64 and 1,580.60

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Solution

The fourth proportional to 5,279.36, 7,917.64 and 1,580.60 is: 2,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.36 : 7,917.64 = 1,580.60 : x
  2. Step 2: Convert to fraction form
    5,279.36/7,917.64 = 1,580.60/x
  3. Step 3: Cross multiply
    5,279.36x = 7,917.64 × 1,580.60
  4. Step 4: Simplify right side
    5,279.36x = 12,514,621.78
  5. Step 5: Solve for x
    x = 12,514,621.78/5,279.36
  6. Step 6: Final answer
    x = 2,370.48

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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.