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Finding the Fourth Proportional to 3,712.85, 5,123.74 and 2,034.32

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Solution

The fourth proportional to 3,712.85, 5,123.74 and 2,034.32 is: 2,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.85 : 5,123.74 = 2,034.32 : x
  2. Step 2: Convert to fraction form
    3,712.85/5,123.74 = 2,034.32/x
  3. Step 3: Cross multiply
    3,712.85x = 5,123.74 × 2,034.32
  4. Step 4: Simplify right side
    3,712.85x = 10,423,326.76
  5. Step 5: Solve for x
    x = 10,423,326.76/3,712.85
  6. Step 6: Final answer
    x = 2,807.37

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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.