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Finding the Fourth Proportional to 3,357.75, 4,633.63 and 1,865.63

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Solution

The fourth proportional to 3,357.75, 4,633.63 and 1,865.63 is: 2,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.75 : 4,633.63 = 1,865.63 : x
  2. Step 2: Convert to fraction form
    3,357.75/4,633.63 = 1,865.63/x
  3. Step 3: Cross multiply
    3,357.75x = 4,633.63 × 1,865.63
  4. Step 4: Simplify right side
    3,357.75x = 8,644,639.14
  5. Step 5: Solve for x
    x = 8,644,639.14/3,357.75
  6. Step 6: Final answer
    x = 2,574.53

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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.