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Finding the Fourth Proportional to 4,202.48, 5,798.13 and 2,433.74

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Solution

The fourth proportional to 4,202.48, 5,798.13 and 2,433.74 is: 3,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.48 : 5,798.13 = 2,433.74 : x
  2. Step 2: Convert to fraction form
    4,202.48/5,798.13 = 2,433.74/x
  3. Step 3: Cross multiply
    4,202.48x = 5,798.13 × 2,433.74
  4. Step 4: Simplify right side
    4,202.48x = 14,111,111.92
  5. Step 5: Solve for x
    x = 14,111,111.92/4,202.48
  6. Step 6: Final answer
    x = 3,357.81

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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.