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Finding the Fourth Proportional to 3,357.67, 4,633.62 and 1,865.68

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Solution

The fourth proportional to 3,357.67, 4,633.62 and 1,865.68 is: 2,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.67 : 4,633.62 = 1,865.68 : x
  2. Step 2: Convert to fraction form
    3,357.67/4,633.62 = 1,865.68/x
  3. Step 3: Cross multiply
    3,357.67x = 4,633.62 × 1,865.68
  4. Step 4: Simplify right side
    3,357.67x = 8,644,852.16
  5. Step 5: Solve for x
    x = 8,644,852.16/3,357.67
  6. Step 6: Final answer
    x = 2,574.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.