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Finding the Fourth Proportional to 5,849.42, 8,069.88 and 3,724.40

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Solution

The fourth proportional to 5,849.42, 8,069.88 and 3,724.40 is: 5,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.42 : 8,069.88 = 3,724.40 : x
  2. Step 2: Convert to fraction form
    5,849.42/8,069.88 = 3,724.40/x
  3. Step 3: Cross multiply
    5,849.42x = 8,069.88 × 3,724.40
  4. Step 4: Simplify right side
    5,849.42x = 30,055,461.07
  5. Step 5: Solve for x
    x = 30,055,461.07/5,849.42
  6. Step 6: Final answer
    x = 5,138.20

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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.