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Finding the Fourth Proportional to 3,462, 5,193.56 and 1,122.59

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Solution

The fourth proportional to 3,462, 5,193.56 and 1,122.59 is: 1,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462 : 5,193.56 = 1,122.59 : x
  2. Step 2: Convert to fraction form
    3,462/5,193.56 = 1,122.59/x
  3. Step 3: Cross multiply
    3,462x = 5,193.56 × 1,122.59
  4. Step 4: Simplify right side
    3,462x = 5,830,238.52
  5. Step 5: Solve for x
    x = 5,830,238.52/3,462
  6. Step 6: Final answer
    x = 1,684.07

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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.