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Finding the Fourth Proportional to 4,073, 5,622.02 and 2,416.68

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Solution

The fourth proportional to 4,073, 5,622.02 and 2,416.68 is: 3,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073 : 5,622.02 = 2,416.68 : x
  2. Step 2: Convert to fraction form
    4,073/5,622.02 = 2,416.68/x
  3. Step 3: Cross multiply
    4,073x = 5,622.02 × 2,416.68
  4. Step 4: Simplify right side
    4,073x = 13,586,623.29
  5. Step 5: Solve for x
    x = 13,586,623.29/4,073
  6. Step 6: Final answer
    x = 3,335.78

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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.