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Finding the Fourth Proportional to 4,407.69, 6,611.70 and 1,486.02

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Solution

The fourth proportional to 4,407.69, 6,611.70 and 1,486.02 is: 2,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.69 : 6,611.70 = 1,486.02 : x
  2. Step 2: Convert to fraction form
    4,407.69/6,611.70 = 1,486.02/x
  3. Step 3: Cross multiply
    4,407.69x = 6,611.70 × 1,486.02
  4. Step 4: Simplify right side
    4,407.69x = 9,825,129.39
  5. Step 5: Solve for x
    x = 9,825,129.39/4,407.69
  6. Step 6: Final answer
    x = 2,229.09

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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.