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Finding the Fourth Proportional to 3,895.76, 5,844.42 and 1,122.46

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Solution

The fourth proportional to 3,895.76, 5,844.42 and 1,122.46 is: 1,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.76 : 5,844.42 = 1,122.46 : x
  2. Step 2: Convert to fraction form
    3,895.76/5,844.42 = 1,122.46/x
  3. Step 3: Cross multiply
    3,895.76x = 5,844.42 × 1,122.46
  4. Step 4: Simplify right side
    3,895.76x = 6,560,113.06
  5. Step 5: Solve for x
    x = 6,560,113.06/3,895.76
  6. Step 6: Final answer
    x = 1,683.91

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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.