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Finding the Fourth Proportional to 4,401.92, 6,074.40 and 2,412.08

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Solution

The fourth proportional to 4,401.92, 6,074.40 and 2,412.08 is: 3,328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,401.92 : 6,074.40 = 2,412.08 : x
  2. Step 2: Convert to fraction form
    4,401.92/6,074.40 = 2,412.08/x
  3. Step 3: Cross multiply
    4,401.92x = 6,074.40 × 2,412.08
  4. Step 4: Simplify right side
    4,401.92x = 14,651,938.75
  5. Step 5: Solve for x
    x = 14,651,938.75/4,401.92
  6. Step 6: Final answer
    x = 3,328.53

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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.