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Finding the Fourth Proportional to 4,230.58, 5,832.61 and 3,471.58

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Solution

The fourth proportional to 4,230.58, 5,832.61 and 3,471.58 is: 4,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.58 : 5,832.61 = 3,471.58 : x
  2. Step 2: Convert to fraction form
    4,230.58/5,832.61 = 3,471.58/x
  3. Step 3: Cross multiply
    4,230.58x = 5,832.61 × 3,471.58
  4. Step 4: Simplify right side
    4,230.58x = 20,248,372.22
  5. Step 5: Solve for x
    x = 20,248,372.22/4,230.58
  6. Step 6: Final answer
    x = 4,786.19

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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.