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Finding the Fourth Proportional to 4,484.97, 6,714.86 and 2,288.97

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Solution

The fourth proportional to 4,484.97, 6,714.86 and 2,288.97 is: 3,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.97 : 6,714.86 = 2,288.97 : x
  2. Step 2: Convert to fraction form
    4,484.97/6,714.86 = 2,288.97/x
  3. Step 3: Cross multiply
    4,484.97x = 6,714.86 × 2,288.97
  4. Step 4: Simplify right side
    4,484.97x = 15,370,101.65
  5. Step 5: Solve for x
    x = 15,370,101.65/4,484.97
  6. Step 6: Final answer
    x = 3,427.02

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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.