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Finding the Fourth Proportional to 5,061.45, 6,984.56 and 2,823.56

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Solution

The fourth proportional to 5,061.45, 6,984.56 and 2,823.56 is: 3,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061.45 : 6,984.56 = 2,823.56 : x
  2. Step 2: Convert to fraction form
    5,061.45/6,984.56 = 2,823.56/x
  3. Step 3: Cross multiply
    5,061.45x = 6,984.56 × 2,823.56
  4. Step 4: Simplify right side
    5,061.45x = 19,721,322.56
  5. Step 5: Solve for x
    x = 19,721,322.56/5,061.45
  6. Step 6: Final answer
    x = 3,896.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.