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Finding the Fourth Proportional to 5,782.50, 8,674.16 and 2,319.75

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Solution

The fourth proportional to 5,782.50, 8,674.16 and 2,319.75 is: 3,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.50 : 8,674.16 = 2,319.75 : x
  2. Step 2: Convert to fraction form
    5,782.50/8,674.16 = 2,319.75/x
  3. Step 3: Cross multiply
    5,782.50x = 8,674.16 × 2,319.75
  4. Step 4: Simplify right side
    5,782.50x = 20,121,871.06
  5. Step 5: Solve for x
    x = 20,121,871.06/5,782.50
  6. Step 6: Final answer
    x = 3,479.79

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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.