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Finding the Fourth Proportional to 3,358.10, 4,633.97 and 1,865.93

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Solution

The fourth proportional to 3,358.10, 4,633.97 and 1,865.93 is: 2,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.10 : 4,633.97 = 1,865.93 : x
  2. Step 2: Convert to fraction form
    3,358.10/4,633.97 = 1,865.93/x
  3. Step 3: Cross multiply
    3,358.10x = 4,633.97 × 1,865.93
  4. Step 4: Simplify right side
    3,358.10x = 8,646,631.14
  5. Step 5: Solve for x
    x = 8,646,631.14/3,358.10
  6. Step 6: Final answer
    x = 2,574.86

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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.