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Finding the Fourth Proportional to 3,498.64, 5,206.68 and 3,382

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Solution

The fourth proportional to 3,498.64, 5,206.68 and 3,382 is: 5,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.64 : 5,206.68 = 3,382 : x
  2. Step 2: Convert to fraction form
    3,498.64/5,206.68 = 3,382/x
  3. Step 3: Cross multiply
    3,498.64x = 5,206.68 × 3,382
  4. Step 4: Simplify right side
    3,498.64x = 17,608,991.76
  5. Step 5: Solve for x
    x = 17,608,991.76/3,498.64
  6. Step 6: Final answer
    x = 5,033.10

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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.