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Finding the Fourth Proportional to 5,209.99, 7,814.70 and 1,462.02

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Solution

The fourth proportional to 5,209.99, 7,814.70 and 1,462.02 is: 2,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.99 : 7,814.70 = 1,462.02 : x
  2. Step 2: Convert to fraction form
    5,209.99/7,814.70 = 1,462.02/x
  3. Step 3: Cross multiply
    5,209.99x = 7,814.70 × 1,462.02
  4. Step 4: Simplify right side
    5,209.99x = 11,425,266.46
  5. Step 5: Solve for x
    x = 11,425,266.46/5,209.99
  6. Step 6: Final answer
    x = 2,192.95

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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.