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Finding the Fourth Proportional to 4,172.58, 5,758.38 and 2,309.58

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Solution

The fourth proportional to 4,172.58, 5,758.38 and 2,309.58 is: 3,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.58 : 5,758.38 = 2,309.58 : x
  2. Step 2: Convert to fraction form
    4,172.58/5,758.38 = 2,309.58/x
  3. Step 3: Cross multiply
    4,172.58x = 5,758.38 × 2,309.58
  4. Step 4: Simplify right side
    4,172.58x = 13,299,439.28
  5. Step 5: Solve for x
    x = 13,299,439.28/4,172.58
  6. Step 6: Final answer
    x = 3,187.34

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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.