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Finding the Fourth Proportional to 5,119.20, 7,667.28 and 5,009.76

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Solution

The fourth proportional to 5,119.20, 7,667.28 and 5,009.76 is: 7,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.20 : 7,667.28 = 5,009.76 : x
  2. Step 2: Convert to fraction form
    5,119.20/7,667.28 = 5,009.76/x
  3. Step 3: Cross multiply
    5,119.20x = 7,667.28 × 5,009.76
  4. Step 4: Simplify right side
    5,119.20x = 38,411,232.65
  5. Step 5: Solve for x
    x = 38,411,232.65/5,119.20
  6. Step 6: Final answer
    x = 7,503.37

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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.