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Finding the Fourth Proportional to 4,786.36, 7,174.04 and 1,862.19

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Solution

The fourth proportional to 4,786.36, 7,174.04 and 1,862.19 is: 2,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.36 : 7,174.04 = 1,862.19 : x
  2. Step 2: Convert to fraction form
    4,786.36/7,174.04 = 1,862.19/x
  3. Step 3: Cross multiply
    4,786.36x = 7,174.04 × 1,862.19
  4. Step 4: Simplify right side
    4,786.36x = 13,359,416.24
  5. Step 5: Solve for x
    x = 13,359,416.24/4,786.36
  6. Step 6: Final answer
    x = 2,791.14

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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.