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Finding the Fourth Proportional to 5,159.91, 7,739.56 and 1,462.67

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Solution

The fourth proportional to 5,159.91, 7,739.56 and 1,462.67 is: 2,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.91 : 7,739.56 = 1,462.67 : x
  2. Step 2: Convert to fraction form
    5,159.91/7,739.56 = 1,462.67/x
  3. Step 3: Cross multiply
    5,159.91x = 7,739.56 × 1,462.67
  4. Step 4: Simplify right side
    5,159.91x = 11,320,422.23
  5. Step 5: Solve for x
    x = 11,320,422.23/5,159.91
  6. Step 6: Final answer
    x = 2,193.92

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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.