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Finding the Fourth Proportional to 3,597.21, 4,963.88 and 2,025

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Solution

The fourth proportional to 3,597.21, 4,963.88 and 2,025 is: 2,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.21 : 4,963.88 = 2,025 : x
  2. Step 2: Convert to fraction form
    3,597.21/4,963.88 = 2,025/x
  3. Step 3: Cross multiply
    3,597.21x = 4,963.88 × 2,025
  4. Step 4: Simplify right side
    3,597.21x = 10,051,862.06
  5. Step 5: Solve for x
    x = 10,051,862.06/3,597.21
  6. Step 6: Final answer
    x = 2,794.35

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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.