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Finding the Fourth Proportional to 3,892.95, 5,372.24 and 2,400.27

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Solution

The fourth proportional to 3,892.95, 5,372.24 and 2,400.27 is: 3,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.95 : 5,372.24 = 2,400.27 : x
  2. Step 2: Convert to fraction form
    3,892.95/5,372.24 = 2,400.27/x
  3. Step 3: Cross multiply
    3,892.95x = 5,372.24 × 2,400.27
  4. Step 4: Simplify right side
    3,892.95x = 12,894,814.50
  5. Step 5: Solve for x
    x = 12,894,814.50/3,892.95
  6. Step 6: Final answer
    x = 3,312.35

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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.