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Finding the Fourth Proportional to 5,287.90, 7,932.76 and 1,778.24

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Solution

The fourth proportional to 5,287.90, 7,932.76 and 1,778.24 is: 2,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.90 : 7,932.76 = 1,778.24 : x
  2. Step 2: Convert to fraction form
    5,287.90/7,932.76 = 1,778.24/x
  3. Step 3: Cross multiply
    5,287.90x = 7,932.76 × 1,778.24
  4. Step 4: Simplify right side
    5,287.90x = 14,106,351.14
  5. Step 5: Solve for x
    x = 14,106,351.14/5,287.90
  6. Step 6: Final answer
    x = 2,667.67

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1.5x scale

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.