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Finding the Fourth Proportional to 3,713.58, 5,125.50 and 2,141.46

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Solution

The fourth proportional to 3,713.58, 5,125.50 and 2,141.46 is: 2,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.58 : 5,125.50 = 2,141.46 : x
  2. Step 2: Convert to fraction form
    3,713.58/5,125.50 = 2,141.46/x
  3. Step 3: Cross multiply
    3,713.58x = 5,125.50 × 2,141.46
  4. Step 4: Simplify right side
    3,713.58x = 10,976,053.23
  5. Step 5: Solve for x
    x = 10,976,053.23/3,713.58
  6. Step 6: Final answer
    x = 2,955.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.