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Finding the Fourth Proportional to 3,977.25, 5,488.61 and 2,580

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Solution

The fourth proportional to 3,977.25, 5,488.61 and 2,580 is: 3,560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.25 : 5,488.61 = 2,580 : x
  2. Step 2: Convert to fraction form
    3,977.25/5,488.61 = 2,580/x
  3. Step 3: Cross multiply
    3,977.25x = 5,488.61 × 2,580
  4. Step 4: Simplify right side
    3,977.25x = 14,160,600.90
  5. Step 5: Solve for x
    x = 14,160,600.90/3,977.25
  6. Step 6: Final answer
    x = 3,560.40

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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.