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Finding the Fourth Proportional to 5,347.75, 8,022.56 and 1,838.12

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Solution

The fourth proportional to 5,347.75, 8,022.56 and 1,838.12 is: 2,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.75 : 8,022.56 = 1,838.12 : x
  2. Step 2: Convert to fraction form
    5,347.75/8,022.56 = 1,838.12/x
  3. Step 3: Cross multiply
    5,347.75x = 8,022.56 × 1,838.12
  4. Step 4: Simplify right side
    5,347.75x = 14,746,403.83
  5. Step 5: Solve for x
    x = 14,746,403.83/5,347.75
  6. Step 6: Final answer
    x = 2,757.50

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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.