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Finding the Fourth Proportional to 3,750.86, 5,176.06 and 2,072.24

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Solution

The fourth proportional to 3,750.86, 5,176.06 and 2,072.24 is: 2,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.86 : 5,176.06 = 2,072.24 : x
  2. Step 2: Convert to fraction form
    3,750.86/5,176.06 = 2,072.24/x
  3. Step 3: Cross multiply
    3,750.86x = 5,176.06 × 2,072.24
  4. Step 4: Simplify right side
    3,750.86x = 10,726,038.57
  5. Step 5: Solve for x
    x = 10,726,038.57/3,750.86
  6. Step 6: Final answer
    x = 2,859.62

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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.