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Finding the Fourth Proportional to 3,873.49, 5,812.07 and 2,411.85

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Solution

The fourth proportional to 3,873.49, 5,812.07 and 2,411.85 is: 3,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.49 : 5,812.07 = 2,411.85 : x
  2. Step 2: Convert to fraction form
    3,873.49/5,812.07 = 2,411.85/x
  3. Step 3: Cross multiply
    3,873.49x = 5,812.07 × 2,411.85
  4. Step 4: Simplify right side
    3,873.49x = 14,017,841.03
  5. Step 5: Solve for x
    x = 14,017,841.03/3,873.49
  6. Step 6: Final answer
    x = 3,618.92

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1.5x scale

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.