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Finding the Fourth Proportional to 3,861.54, 5,792.31 and 1,552.50

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Solution

The fourth proportional to 3,861.54, 5,792.31 and 1,552.50 is: 2,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.54 : 5,792.31 = 1,552.50 : x
  2. Step 2: Convert to fraction form
    3,861.54/5,792.31 = 1,552.50/x
  3. Step 3: Cross multiply
    3,861.54x = 5,792.31 × 1,552.50
  4. Step 4: Simplify right side
    3,861.54x = 8,992,561.28
  5. Step 5: Solve for x
    x = 8,992,561.28/3,861.54
  6. Step 6: Final answer
    x = 2,328.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.