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Finding the Fourth Proportional to 5,764.44, 8,647.80 and 2,065.68

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Solution

The fourth proportional to 5,764.44, 8,647.80 and 2,065.68 is: 3,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.44 : 8,647.80 = 2,065.68 : x
  2. Step 2: Convert to fraction form
    5,764.44/8,647.80 = 2,065.68/x
  3. Step 3: Cross multiply
    5,764.44x = 8,647.80 × 2,065.68
  4. Step 4: Simplify right side
    5,764.44x = 17,863,587.50
  5. Step 5: Solve for x
    x = 17,863,587.50/5,764.44
  6. Step 6: Final answer
    x = 3,098.93

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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.