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Finding the Fourth Proportional to 4,474.68, 6,712.80 and 1,701.60

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Solution

The fourth proportional to 4,474.68, 6,712.80 and 1,701.60 is: 2,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.68 : 6,712.80 = 1,701.60 : x
  2. Step 2: Convert to fraction form
    4,474.68/6,712.80 = 1,701.60/x
  3. Step 3: Cross multiply
    4,474.68x = 6,712.80 × 1,701.60
  4. Step 4: Simplify right side
    4,474.68x = 11,422,500.48
  5. Step 5: Solve for x
    x = 11,422,500.48/4,474.68
  6. Step 6: Final answer
    x = 2,552.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.