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Finding the Fourth Proportional to 5,778.14, 8,648.72 and 3,001.01

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Solution

The fourth proportional to 5,778.14, 8,648.72 and 3,001.01 is: 4,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.14 : 8,648.72 = 3,001.01 : x
  2. Step 2: Convert to fraction form
    5,778.14/8,648.72 = 3,001.01/x
  3. Step 3: Cross multiply
    5,778.14x = 8,648.72 × 3,001.01
  4. Step 4: Simplify right side
    5,778.14x = 25,954,836.96
  5. Step 5: Solve for x
    x = 25,954,836.96/5,778.14
  6. Step 6: Final answer
    x = 4,491.91

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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.