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Finding the Fourth Proportional to 4,113.80, 6,166.65 and 2,032.10

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Solution

The fourth proportional to 4,113.80, 6,166.65 and 2,032.10 is: 3,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.80 : 6,166.65 = 2,032.10 : x
  2. Step 2: Convert to fraction form
    4,113.80/6,166.65 = 2,032.10/x
  3. Step 3: Cross multiply
    4,113.80x = 6,166.65 × 2,032.10
  4. Step 4: Simplify right side
    4,113.80x = 12,531,249.47
  5. Step 5: Solve for x
    x = 12,531,249.47/4,113.80
  6. Step 6: Final answer
    x = 3,046.15

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