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Finding the Fourth Proportional to 5,842.28, 8,797.66 and 4,210.14

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Solution

The fourth proportional to 5,842.28, 8,797.66 and 4,210.14 is: 6,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.28 : 8,797.66 = 4,210.14 : x
  2. Step 2: Convert to fraction form
    5,842.28/8,797.66 = 4,210.14/x
  3. Step 3: Cross multiply
    5,842.28x = 8,797.66 × 4,210.14
  4. Step 4: Simplify right side
    5,842.28x = 37,039,380.27
  5. Step 5: Solve for x
    x = 37,039,380.27/5,842.28
  6. Step 6: Final answer
    x = 6,339.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.