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Finding the Fourth Proportional to 3,852.32, 5,773.66 and 1,876.32

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Solution

The fourth proportional to 3,852.32, 5,773.66 and 1,876.32 is: 2,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.32 : 5,773.66 = 1,876.32 : x
  2. Step 2: Convert to fraction form
    3,852.32/5,773.66 = 1,876.32/x
  3. Step 3: Cross multiply
    3,852.32x = 5,773.66 × 1,876.32
  4. Step 4: Simplify right side
    3,852.32x = 10,833,233.73
  5. Step 5: Solve for x
    x = 10,833,233.73/3,852.32
  6. Step 6: Final answer
    x = 2,812.13

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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.