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Finding the Fourth Proportional to 4,330.64, 5,976.78 and 2,562.86

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Solution

The fourth proportional to 4,330.64, 5,976.78 and 2,562.86 is: 3,537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.64 : 5,976.78 = 2,562.86 : x
  2. Step 2: Convert to fraction form
    4,330.64/5,976.78 = 2,562.86/x
  3. Step 3: Cross multiply
    4,330.64x = 5,976.78 × 2,562.86
  4. Step 4: Simplify right side
    4,330.64x = 15,317,650.39
  5. Step 5: Solve for x
    x = 15,317,650.39/4,330.64
  6. Step 6: Final answer
    x = 3,537.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.