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Finding the Fourth Proportional to 5,061.24, 6,984 and 2,822.94

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Solution

The fourth proportional to 5,061.24, 6,984 and 2,822.94 is: 3,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061.24 : 6,984 = 2,822.94 : x
  2. Step 2: Convert to fraction form
    5,061.24/6,984 = 2,822.94/x
  3. Step 3: Cross multiply
    5,061.24x = 6,984 × 2,822.94
  4. Step 4: Simplify right side
    5,061.24x = 19,715,412.96
  5. Step 5: Solve for x
    x = 19,715,412.96/5,061.24
  6. Step 6: Final answer
    x = 3,895.37

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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.