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Finding the Fourth Proportional to 4,407.66, 6,609.65 and 1,486.22

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Solution

The fourth proportional to 4,407.66, 6,609.65 and 1,486.22 is: 2,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.66 : 6,609.65 = 1,486.22 : x
  2. Step 2: Convert to fraction form
    4,407.66/6,609.65 = 1,486.22/x
  3. Step 3: Cross multiply
    4,407.66x = 6,609.65 × 1,486.22
  4. Step 4: Simplify right side
    4,407.66x = 9,823,353.54
  5. Step 5: Solve for x
    x = 9,823,353.54/4,407.66
  6. Step 6: Final answer
    x = 2,228.70

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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.