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Finding the Fourth Proportional to 5,642.92, 8,453.80 and 4,724.36

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Solution

The fourth proportional to 5,642.92, 8,453.80 and 4,724.36 is: 7,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.92 : 8,453.80 = 4,724.36 : x
  2. Step 2: Convert to fraction form
    5,642.92/8,453.80 = 4,724.36/x
  3. Step 3: Cross multiply
    5,642.92x = 8,453.80 × 4,724.36
  4. Step 4: Simplify right side
    5,642.92x = 39,938,794.57
  5. Step 5: Solve for x
    x = 39,938,794.57/5,642.92
  6. Step 6: Final answer
    x = 7,077.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.