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Finding the Fourth Proportional to 4,166.65, 6,249.81 and 1,046.42

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Solution

The fourth proportional to 4,166.65, 6,249.81 and 1,046.42 is: 1,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.65 : 6,249.81 = 1,046.42 : x
  2. Step 2: Convert to fraction form
    4,166.65/6,249.81 = 1,046.42/x
  3. Step 3: Cross multiply
    4,166.65x = 6,249.81 × 1,046.42
  4. Step 4: Simplify right side
    4,166.65x = 6,539,926.18
  5. Step 5: Solve for x
    x = 6,539,926.18/4,166.65
  6. Step 6: Final answer
    x = 1,569.59

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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.