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Finding the Fourth Proportional to 5,049.54, 6,968.87 and 3,061.50

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Solution

The fourth proportional to 5,049.54, 6,968.87 and 3,061.50 is: 4,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.54 : 6,968.87 = 3,061.50 : x
  2. Step 2: Convert to fraction form
    5,049.54/6,968.87 = 3,061.50/x
  3. Step 3: Cross multiply
    5,049.54x = 6,968.87 × 3,061.50
  4. Step 4: Simplify right side
    5,049.54x = 21,335,180.20
  5. Step 5: Solve for x
    x = 21,335,180.20/5,049.54
  6. Step 6: Final answer
    x = 4,225.17

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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.