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Finding the Fourth Proportional to 5,482.75, 8,227.91 and 4,751.59

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Solution

The fourth proportional to 5,482.75, 8,227.91 and 4,751.59 is: 7,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.75 : 8,227.91 = 4,751.59 : x
  2. Step 2: Convert to fraction form
    5,482.75/8,227.91 = 4,751.59/x
  3. Step 3: Cross multiply
    5,482.75x = 8,227.91 × 4,751.59
  4. Step 4: Simplify right side
    5,482.75x = 39,095,631.12
  5. Step 5: Solve for x
    x = 39,095,631.12/5,482.75
  6. Step 6: Final answer
    x = 7,130.66

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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.