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Finding the Fourth Proportional to 3,957.68, 5,462.17 and 2,466.07

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Solution

The fourth proportional to 3,957.68, 5,462.17 and 2,466.07 is: 3,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.68 : 5,462.17 = 2,466.07 : x
  2. Step 2: Convert to fraction form
    3,957.68/5,462.17 = 2,466.07/x
  3. Step 3: Cross multiply
    3,957.68x = 5,462.17 × 2,466.07
  4. Step 4: Simplify right side
    3,957.68x = 13,470,073.75
  5. Step 5: Solve for x
    x = 13,470,073.75/3,957.68
  6. Step 6: Final answer
    x = 3,403.53

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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.