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Finding the Fourth Proportional to 4,228.77, 5,835.71 and 2,340.48

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Solution

The fourth proportional to 4,228.77, 5,835.71 and 2,340.48 is: 3,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.77 : 5,835.71 = 2,340.48 : x
  2. Step 2: Convert to fraction form
    4,228.77/5,835.71 = 2,340.48/x
  3. Step 3: Cross multiply
    4,228.77x = 5,835.71 × 2,340.48
  4. Step 4: Simplify right side
    4,228.77x = 13,658,373.86
  5. Step 5: Solve for x
    x = 13,658,373.86/4,228.77
  6. Step 6: Final answer
    x = 3,229.87

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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.