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Finding the Fourth Proportional to 5,779.25, 7,975.33 and 3,126.65

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Solution

The fourth proportional to 5,779.25, 7,975.33 and 3,126.65 is: 4,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.25 : 7,975.33 = 3,126.65 : x
  2. Step 2: Convert to fraction form
    5,779.25/7,975.33 = 3,126.65/x
  3. Step 3: Cross multiply
    5,779.25x = 7,975.33 × 3,126.65
  4. Step 4: Simplify right side
    5,779.25x = 24,936,065.54
  5. Step 5: Solve for x
    x = 24,936,065.54/5,779.25
  6. Step 6: Final answer
    x = 4,314.76

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1.5x scale

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.