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Finding the Fourth Proportional to 5,497.08, 8,238.32 and 4,763.22

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Solution

The fourth proportional to 5,497.08, 8,238.32 and 4,763.22 is: 7,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.08 : 8,238.32 = 4,763.22 : x
  2. Step 2: Convert to fraction form
    5,497.08/8,238.32 = 4,763.22/x
  3. Step 3: Cross multiply
    5,497.08x = 8,238.32 × 4,763.22
  4. Step 4: Simplify right side
    5,497.08x = 39,240,930.59
  5. Step 5: Solve for x
    x = 39,240,930.59/5,497.08
  6. Step 6: Final answer
    x = 7,138.50

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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.