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Finding the Fourth Proportional to 3,158.48, 4,738.19 and 1,020.62

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Solution

The fourth proportional to 3,158.48, 4,738.19 and 1,020.62 is: 1,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.48 : 4,738.19 = 1,020.62 : x
  2. Step 2: Convert to fraction form
    3,158.48/4,738.19 = 1,020.62/x
  3. Step 3: Cross multiply
    3,158.48x = 4,738.19 × 1,020.62
  4. Step 4: Simplify right side
    3,158.48x = 4,835,898.22
  5. Step 5: Solve for x
    x = 4,835,898.22/3,158.48
  6. Step 6: Final answer
    x = 1,531.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.