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Finding the Fourth Proportional to 3,294.20, 4,933.20 and 3,148.40

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Solution

The fourth proportional to 3,294.20, 4,933.20 and 3,148.40 is: 4,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.20 : 4,933.20 = 3,148.40 : x
  2. Step 2: Convert to fraction form
    3,294.20/4,933.20 = 3,148.40/x
  3. Step 3: Cross multiply
    3,294.20x = 4,933.20 × 3,148.40
  4. Step 4: Simplify right side
    3,294.20x = 15,531,686.88
  5. Step 5: Solve for x
    x = 15,531,686.88/3,294.20
  6. Step 6: Final answer
    x = 4,714.86

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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.