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Finding the Fourth Proportional to 3,447, 4,756.86 and 2,049.75

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Solution

The fourth proportional to 3,447, 4,756.86 and 2,049.75 is: 2,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447 : 4,756.86 = 2,049.75 : x
  2. Step 2: Convert to fraction form
    3,447/4,756.86 = 2,049.75/x
  3. Step 3: Cross multiply
    3,447x = 4,756.86 × 2,049.75
  4. Step 4: Simplify right side
    3,447x = 9,750,373.79
  5. Step 5: Solve for x
    x = 9,750,373.79/3,447
  6. Step 6: Final answer
    x = 2,828.66

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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.