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Finding the Fourth Proportional to 3,967.64, 5,471.32 and 2,394.80

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Solution

The fourth proportional to 3,967.64, 5,471.32 and 2,394.80 is: 3,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.64 : 5,471.32 = 2,394.80 : x
  2. Step 2: Convert to fraction form
    3,967.64/5,471.32 = 2,394.80/x
  3. Step 3: Cross multiply
    3,967.64x = 5,471.32 × 2,394.80
  4. Step 4: Simplify right side
    3,967.64x = 13,102,717.14
  5. Step 5: Solve for x
    x = 13,102,717.14/3,967.64
  6. Step 6: Final answer
    x = 3,302.40

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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.