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Finding the Fourth Proportional to 3,497.64, 5,205.18 and 3,381

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Solution

The fourth proportional to 3,497.64, 5,205.18 and 3,381 is: 5,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.64 : 5,205.18 = 3,381 : x
  2. Step 2: Convert to fraction form
    3,497.64/5,205.18 = 3,381/x
  3. Step 3: Cross multiply
    3,497.64x = 5,205.18 × 3,381
  4. Step 4: Simplify right side
    3,497.64x = 17,598,713.58
  5. Step 5: Solve for x
    x = 17,598,713.58/3,497.64
  6. Step 6: Final answer
    x = 5,031.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.