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Finding the Fourth Proportional to 5,132.68, 7,694.16 and 1,667.50

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Solution

The fourth proportional to 5,132.68, 7,694.16 and 1,667.50 is: 2,499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.68 : 7,694.16 = 1,667.50 : x
  2. Step 2: Convert to fraction form
    5,132.68/7,694.16 = 1,667.50/x
  3. Step 3: Cross multiply
    5,132.68x = 7,694.16 × 1,667.50
  4. Step 4: Simplify right side
    5,132.68x = 12,830,011.80
  5. Step 5: Solve for x
    x = 12,830,011.80/5,132.68
  6. Step 6: Final answer
    x = 2,499.67

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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.