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Finding the Fourth Proportional to 3,136.58, 4,698.17 and 1,651.11

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Solution

The fourth proportional to 3,136.58, 4,698.17 and 1,651.11 is: 2,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.58 : 4,698.17 = 1,651.11 : x
  2. Step 2: Convert to fraction form
    3,136.58/4,698.17 = 1,651.11/x
  3. Step 3: Cross multiply
    3,136.58x = 4,698.17 × 1,651.11
  4. Step 4: Simplify right side
    3,136.58x = 7,757,187.21
  5. Step 5: Solve for x
    x = 7,757,187.21/3,136.58
  6. Step 6: Final answer
    x = 2,473.14

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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.