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Finding the Fourth Proportional to 4,819.72, 7,228.32 and 2,046.28

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Solution

The fourth proportional to 4,819.72, 7,228.32 and 2,046.28 is: 3,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.72 : 7,228.32 = 2,046.28 : x
  2. Step 2: Convert to fraction form
    4,819.72/7,228.32 = 2,046.28/x
  3. Step 3: Cross multiply
    4,819.72x = 7,228.32 × 2,046.28
  4. Step 4: Simplify right side
    4,819.72x = 14,791,166.65
  5. Step 5: Solve for x
    x = 14,791,166.65/4,819.72
  6. Step 6: Final answer
    x = 3,068.89

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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.