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Finding the Fourth Proportional to 5,977.68, 8,967.24 and 2,514.48

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Solution

The fourth proportional to 5,977.68, 8,967.24 and 2,514.48 is: 3,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.68 : 8,967.24 = 2,514.48 : x
  2. Step 2: Convert to fraction form
    5,977.68/8,967.24 = 2,514.48/x
  3. Step 3: Cross multiply
    5,977.68x = 8,967.24 × 2,514.48
  4. Step 4: Simplify right side
    5,977.68x = 22,547,945.64
  5. Step 5: Solve for x
    x = 22,547,945.64/5,977.68
  6. Step 6: Final answer
    x = 3,772.02

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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.