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Finding the Fourth Proportional to 3,713.78, 5,124.78 and 2,141.76

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Solution

The fourth proportional to 3,713.78, 5,124.78 and 2,141.76 is: 2,955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.78 : 5,124.78 = 2,141.76 : x
  2. Step 2: Convert to fraction form
    3,713.78/5,124.78 = 2,141.76/x
  3. Step 3: Cross multiply
    3,713.78x = 5,124.78 × 2,141.76
  4. Step 4: Simplify right side
    3,713.78x = 10,976,048.81
  5. Step 5: Solve for x
    x = 10,976,048.81/3,713.78
  6. Step 6: Final answer
    x = 2,955.49

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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.