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Finding the Fourth Proportional to 4,946.96, 7,417.96 and 2,757.20

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Solution

The fourth proportional to 4,946.96, 7,417.96 and 2,757.20 is: 4,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.96 : 7,417.96 = 2,757.20 : x
  2. Step 2: Convert to fraction form
    4,946.96/7,417.96 = 2,757.20/x
  3. Step 3: Cross multiply
    4,946.96x = 7,417.96 × 2,757.20
  4. Step 4: Simplify right side
    4,946.96x = 20,452,799.31
  5. Step 5: Solve for x
    x = 20,452,799.31/4,946.96
  6. Step 6: Final answer
    x = 4,134.42

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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.