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Finding the Fourth Proportional to 4,166.96, 6,220.02 and 3,641.49

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Solution

The fourth proportional to 4,166.96, 6,220.02 and 3,641.49 is: 5,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.96 : 6,220.02 = 3,641.49 : x
  2. Step 2: Convert to fraction form
    4,166.96/6,220.02 = 3,641.49/x
  3. Step 3: Cross multiply
    4,166.96x = 6,220.02 × 3,641.49
  4. Step 4: Simplify right side
    4,166.96x = 22,650,140.63
  5. Step 5: Solve for x
    x = 22,650,140.63/4,166.96
  6. Step 6: Final answer
    x = 5,435.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.