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Finding the Fourth Proportional to 3,713.91, 5,124.09 and 2,120.50

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Solution

The fourth proportional to 3,713.91, 5,124.09 and 2,120.50 is: 2,925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.91 : 5,124.09 = 2,120.50 : x
  2. Step 2: Convert to fraction form
    3,713.91/5,124.09 = 2,120.50/x
  3. Step 3: Cross multiply
    3,713.91x = 5,124.09 × 2,120.50
  4. Step 4: Simplify right side
    3,713.91x = 10,865,632.85
  5. Step 5: Solve for x
    x = 10,865,632.85/3,713.91
  6. Step 6: Final answer
    x = 2,925.66

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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.