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Finding the Fourth Proportional to 5,647.65, 8,466.29 and 3,011.21

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Solution

The fourth proportional to 5,647.65, 8,466.29 and 3,011.21 is: 4,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.65 : 8,466.29 = 3,011.21 : x
  2. Step 2: Convert to fraction form
    5,647.65/8,466.29 = 3,011.21/x
  3. Step 3: Cross multiply
    5,647.65x = 8,466.29 × 3,011.21
  4. Step 4: Simplify right side
    5,647.65x = 25,493,804.83
  5. Step 5: Solve for x
    x = 25,493,804.83/5,647.65
  6. Step 6: Final answer
    x = 4,514.06

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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.