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Finding the Fourth Proportional to 4,327.56, 5,971.92 and 2,464.56

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Solution

The fourth proportional to 4,327.56, 5,971.92 and 2,464.56 is: 3,401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.56 : 5,971.92 = 2,464.56 : x
  2. Step 2: Convert to fraction form
    4,327.56/5,971.92 = 2,464.56/x
  3. Step 3: Cross multiply
    4,327.56x = 5,971.92 × 2,464.56
  4. Step 4: Simplify right side
    4,327.56x = 14,718,155.16
  5. Step 5: Solve for x
    x = 14,718,155.16/4,327.56
  6. Step 6: Final answer
    x = 3,401.03

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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.