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Finding the Fourth Proportional to 4,401.57, 6,074.25 and 2,412

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Solution

The fourth proportional to 4,401.57, 6,074.25 and 2,412 is: 3,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,401.57 : 6,074.25 = 2,412 : x
  2. Step 2: Convert to fraction form
    4,401.57/6,074.25 = 2,412/x
  3. Step 3: Cross multiply
    4,401.57x = 6,074.25 × 2,412
  4. Step 4: Simplify right side
    4,401.57x = 14,651,091
  5. Step 5: Solve for x
    x = 14,651,091/4,401.57
  6. Step 6: Final answer
    x = 3,328.61

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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.