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Finding the Fourth Proportional to 4,064.74, 5,609.32 and 2,201.74

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Solution

The fourth proportional to 4,064.74, 5,609.32 and 2,201.74 is: 3,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.74 : 5,609.32 = 2,201.74 : x
  2. Step 2: Convert to fraction form
    4,064.74/5,609.32 = 2,201.74/x
  3. Step 3: Cross multiply
    4,064.74x = 5,609.32 × 2,201.74
  4. Step 4: Simplify right side
    4,064.74x = 12,350,264.22
  5. Step 5: Solve for x
    x = 12,350,264.22/4,064.74
  6. Step 6: Final answer
    x = 3,038.39

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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.