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Finding the Fourth Proportional to 3,357.41, 4,633 and 1,865.24

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Solution

The fourth proportional to 3,357.41, 4,633 and 1,865.24 is: 2,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.41 : 4,633 = 1,865.24 : x
  2. Step 2: Convert to fraction form
    3,357.41/4,633 = 1,865.24/x
  3. Step 3: Cross multiply
    3,357.41x = 4,633 × 1,865.24
  4. Step 4: Simplify right side
    3,357.41x = 8,641,656.92
  5. Step 5: Solve for x
    x = 8,641,656.92/3,357.41
  6. Step 6: Final answer
    x = 2,573.91

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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.