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Finding the Fourth Proportional to 3,429.93, 5,147.10 and 1,238.46

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Solution

The fourth proportional to 3,429.93, 5,147.10 and 1,238.46 is: 1,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.93 : 5,147.10 = 1,238.46 : x
  2. Step 2: Convert to fraction form
    3,429.93/5,147.10 = 1,238.46/x
  3. Step 3: Cross multiply
    3,429.93x = 5,147.10 × 1,238.46
  4. Step 4: Simplify right side
    3,429.93x = 6,374,477.47
  5. Step 5: Solve for x
    x = 6,374,477.47/3,429.93
  6. Step 6: Final answer
    x = 1,858.49

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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.