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Finding the Fourth Proportional to 5,135.50, 7,700.14 and 2,011.78

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Solution

The fourth proportional to 5,135.50, 7,700.14 and 2,011.78 is: 3,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.50 : 7,700.14 = 2,011.78 : x
  2. Step 2: Convert to fraction form
    5,135.50/7,700.14 = 2,011.78/x
  3. Step 3: Cross multiply
    5,135.50x = 7,700.14 × 2,011.78
  4. Step 4: Simplify right side
    5,135.50x = 15,490,987.65
  5. Step 5: Solve for x
    x = 15,490,987.65/5,135.50
  6. Step 6: Final answer
    x = 3,016.45

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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.