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Finding the Fourth Proportional to 3,726.39, 5,142.39 and 2,070.39

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Solution

The fourth proportional to 3,726.39, 5,142.39 and 2,070.39 is: 2,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.39 : 5,142.39 = 2,070.39 : x
  2. Step 2: Convert to fraction form
    3,726.39/5,142.39 = 2,070.39/x
  3. Step 3: Cross multiply
    3,726.39x = 5,142.39 × 2,070.39
  4. Step 4: Simplify right side
    3,726.39x = 10,646,752.83
  5. Step 5: Solve for x
    x = 10,646,752.83/3,726.39
  6. Step 6: Final answer
    x = 2,857.12

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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.