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Finding the Fourth Proportional to 5,774.57, 8,660.49 and 2,652.63

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Solution

The fourth proportional to 5,774.57, 8,660.49 and 2,652.63 is: 3,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.57 : 8,660.49 = 2,652.63 : x
  2. Step 2: Convert to fraction form
    5,774.57/8,660.49 = 2,652.63/x
  3. Step 3: Cross multiply
    5,774.57x = 8,660.49 × 2,652.63
  4. Step 4: Simplify right side
    5,774.57x = 22,973,033.16
  5. Step 5: Solve for x
    x = 22,973,033.16/5,774.57
  6. Step 6: Final answer
    x = 3,978.31

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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.