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Finding the Fourth Proportional to 3,832.40, 5,289.40 and 2,260.40

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Solution

The fourth proportional to 3,832.40, 5,289.40 and 2,260.40 is: 3,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.40 : 5,289.40 = 2,260.40 : x
  2. Step 2: Convert to fraction form
    3,832.40/5,289.40 = 2,260.40/x
  3. Step 3: Cross multiply
    3,832.40x = 5,289.40 × 2,260.40
  4. Step 4: Simplify right side
    3,832.40x = 11,956,159.76
  5. Step 5: Solve for x
    x = 11,956,159.76/3,832.40
  6. Step 6: Final answer
    x = 3,119.76

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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.