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Finding the Fourth Proportional to 4,410.46, 6,085.19 and 2,839.46

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Solution

The fourth proportional to 4,410.46, 6,085.19 and 2,839.46 is: 3,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,410.46 : 6,085.19 = 2,839.46 : x
  2. Step 2: Convert to fraction form
    4,410.46/6,085.19 = 2,839.46/x
  3. Step 3: Cross multiply
    4,410.46x = 6,085.19 × 2,839.46
  4. Step 4: Simplify right side
    4,410.46x = 17,278,639.40
  5. Step 5: Solve for x
    x = 17,278,639.40/4,410.46
  6. Step 6: Final answer
    x = 3,917.65

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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.