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Finding the Fourth Proportional to 4,202.01, 5,798.65 and 2,433.65

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Solution

The fourth proportional to 4,202.01, 5,798.65 and 2,433.65 is: 3,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.01 : 5,798.65 = 2,433.65 : x
  2. Step 2: Convert to fraction form
    4,202.01/5,798.65 = 2,433.65/x
  3. Step 3: Cross multiply
    4,202.01x = 5,798.65 × 2,433.65
  4. Step 4: Simplify right side
    4,202.01x = 14,111,884.57
  5. Step 5: Solve for x
    x = 14,111,884.57/4,202.01
  6. Step 6: Final answer
    x = 3,358.37

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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.