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Finding the Fourth Proportional to 4,202.58, 5,800 and 3,152.82

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Solution

The fourth proportional to 4,202.58, 5,800 and 3,152.82 is: 4,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.58 : 5,800 = 3,152.82 : x
  2. Step 2: Convert to fraction form
    4,202.58/5,800 = 3,152.82/x
  3. Step 3: Cross multiply
    4,202.58x = 5,800 × 3,152.82
  4. Step 4: Simplify right side
    4,202.58x = 18,286,356
  5. Step 5: Solve for x
    x = 18,286,356/4,202.58
  6. Step 6: Final answer
    x = 4,351.22

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