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Finding the Fourth Proportional to 3,957.84, 5,462.10 and 2,256.30

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Solution

The fourth proportional to 3,957.84, 5,462.10 and 2,256.30 is: 3,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.84 : 5,462.10 = 2,256.30 : x
  2. Step 2: Convert to fraction form
    3,957.84/5,462.10 = 2,256.30/x
  3. Step 3: Cross multiply
    3,957.84x = 5,462.10 × 2,256.30
  4. Step 4: Simplify right side
    3,957.84x = 12,324,136.23
  5. Step 5: Solve for x
    x = 12,324,136.23/3,957.84
  6. Step 6: Final answer
    x = 3,113.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.