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Finding the Fourth Proportional to 4,581.84, 6,856.32 and 3,967.64

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Solution

The fourth proportional to 4,581.84, 6,856.32 and 3,967.64 is: 5,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581.84 : 6,856.32 = 3,967.64 : x
  2. Step 2: Convert to fraction form
    4,581.84/6,856.32 = 3,967.64/x
  3. Step 3: Cross multiply
    4,581.84x = 6,856.32 × 3,967.64
  4. Step 4: Simplify right side
    4,581.84x = 27,203,409.48
  5. Step 5: Solve for x
    x = 27,203,409.48/4,581.84
  6. Step 6: Final answer
    x = 5,937.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.