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Finding the Fourth Proportional to 4,327.61, 5,972.09 and 2,464.61

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Solution

The fourth proportional to 4,327.61, 5,972.09 and 2,464.61 is: 3,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.61 : 5,972.09 = 2,464.61 : x
  2. Step 2: Convert to fraction form
    4,327.61/5,972.09 = 2,464.61/x
  3. Step 3: Cross multiply
    4,327.61x = 5,972.09 × 2,464.61
  4. Step 4: Simplify right side
    4,327.61x = 14,718,830.55
  5. Step 5: Solve for x
    x = 14,718,830.55/4,327.61
  6. Step 6: Final answer
    x = 3,401.15

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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.