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Finding the Fourth Proportional to 3,138.18, 4,706.90 and 829.86

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Solution

The fourth proportional to 3,138.18, 4,706.90 and 829.86 is: 1,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.18 : 4,706.90 = 829.86 : x
  2. Step 2: Convert to fraction form
    3,138.18/4,706.90 = 829.86/x
  3. Step 3: Cross multiply
    3,138.18x = 4,706.90 × 829.86
  4. Step 4: Simplify right side
    3,138.18x = 3,906,068.03
  5. Step 5: Solve for x
    x = 3,906,068.03/3,138.18
  6. Step 6: Final answer
    x = 1,244.69

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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.