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Finding the Fourth Proportional to 3,865.04, 5,797.56 and 2,498

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Solution

The fourth proportional to 3,865.04, 5,797.56 and 2,498 is: 3,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.04 : 5,797.56 = 2,498 : x
  2. Step 2: Convert to fraction form
    3,865.04/5,797.56 = 2,498/x
  3. Step 3: Cross multiply
    3,865.04x = 5,797.56 × 2,498
  4. Step 4: Simplify right side
    3,865.04x = 14,482,304.88
  5. Step 5: Solve for x
    x = 14,482,304.88/3,865.04
  6. Step 6: Final answer
    x = 3,747.00

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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.