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Finding the Fourth Proportional to 3,790.98, 5,228.28 and 2,464.20

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Solution

The fourth proportional to 3,790.98, 5,228.28 and 2,464.20 is: 3,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.98 : 5,228.28 = 2,464.20 : x
  2. Step 2: Convert to fraction form
    3,790.98/5,228.28 = 2,464.20/x
  3. Step 3: Cross multiply
    3,790.98x = 5,228.28 × 2,464.20
  4. Step 4: Simplify right side
    3,790.98x = 12,883,527.58
  5. Step 5: Solve for x
    x = 12,883,527.58/3,790.98
  6. Step 6: Final answer
    x = 3,398.47

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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.