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Finding the Fourth Proportional to 3,713.76, 5,123.56 and 2,120.50

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Solution

The fourth proportional to 3,713.76, 5,123.56 and 2,120.50 is: 2,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.76 : 5,123.56 = 2,120.50 : x
  2. Step 2: Convert to fraction form
    3,713.76/5,123.56 = 2,120.50/x
  3. Step 3: Cross multiply
    3,713.76x = 5,123.56 × 2,120.50
  4. Step 4: Simplify right side
    3,713.76x = 10,864,472.76
  5. Step 5: Solve for x
    x = 10,864,472.76/3,713.76
  6. Step 6: Final answer
    x = 2,925.47

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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.