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Finding the Fourth Proportional to 3,397.98, 4,687.80 and 2,071.20

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Solution

The fourth proportional to 3,397.98, 4,687.80 and 2,071.20 is: 2,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.98 : 4,687.80 = 2,071.20 : x
  2. Step 2: Convert to fraction form
    3,397.98/4,687.80 = 2,071.20/x
  3. Step 3: Cross multiply
    3,397.98x = 4,687.80 × 2,071.20
  4. Step 4: Simplify right side
    3,397.98x = 9,709,371.36
  5. Step 5: Solve for x
    x = 9,709,371.36/3,397.98
  6. Step 6: Final answer
    x = 2,857.40

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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.