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Finding the Fourth Proportional to 5,186.70, 7,777.71 and 1,488.11

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Solution

The fourth proportional to 5,186.70, 7,777.71 and 1,488.11 is: 2,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.70 : 7,777.71 = 1,488.11 : x
  2. Step 2: Convert to fraction form
    5,186.70/7,777.71 = 1,488.11/x
  3. Step 3: Cross multiply
    5,186.70x = 7,777.71 × 1,488.11
  4. Step 4: Simplify right side
    5,186.70x = 11,574,049.14
  5. Step 5: Solve for x
    x = 11,574,049.14/5,186.70
  6. Step 6: Final answer
    x = 2,231.49

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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.