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Finding the Fourth Proportional to 4,699.90, 7,053.27 and 3,786.49

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Solution

The fourth proportional to 4,699.90, 7,053.27 and 3,786.49 is: 5,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.90 : 7,053.27 = 3,786.49 : x
  2. Step 2: Convert to fraction form
    4,699.90/7,053.27 = 3,786.49/x
  3. Step 3: Cross multiply
    4,699.90x = 7,053.27 × 3,786.49
  4. Step 4: Simplify right side
    4,699.90x = 26,707,136.32
  5. Step 5: Solve for x
    x = 26,707,136.32/4,699.90
  6. Step 6: Final answer
    x = 5,682.49

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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.