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Finding the Fourth Proportional to 4,129, 5,697.94 and 2,360.52

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Solution

The fourth proportional to 4,129, 5,697.94 and 2,360.52 is: 3,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129 : 5,697.94 = 2,360.52 : x
  2. Step 2: Convert to fraction form
    4,129/5,697.94 = 2,360.52/x
  3. Step 3: Cross multiply
    4,129x = 5,697.94 × 2,360.52
  4. Step 4: Simplify right side
    4,129x = 13,450,101.33
  5. Step 5: Solve for x
    x = 13,450,101.33/4,129
  6. Step 6: Final answer
    x = 3,257.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.