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Finding the Fourth Proportional to 3,426.88, 4,713.42 and 2,825.14

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Solution

The fourth proportional to 3,426.88, 4,713.42 and 2,825.14 is: 3,885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.88 : 4,713.42 = 2,825.14 : x
  2. Step 2: Convert to fraction form
    3,426.88/4,713.42 = 2,825.14/x
  3. Step 3: Cross multiply
    3,426.88x = 4,713.42 × 2,825.14
  4. Step 4: Simplify right side
    3,426.88x = 13,316,071.38
  5. Step 5: Solve for x
    x = 13,316,071.38/3,426.88
  6. Step 6: Final answer
    x = 3,885.77

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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.