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Finding the Fourth Proportional to 5,239.04, 7,844.54 and 4,408.65

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Solution

The fourth proportional to 5,239.04, 7,844.54 and 4,408.65 is: 6,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.04 : 7,844.54 = 4,408.65 : x
  2. Step 2: Convert to fraction form
    5,239.04/7,844.54 = 4,408.65/x
  3. Step 3: Cross multiply
    5,239.04x = 7,844.54 × 4,408.65
  4. Step 4: Simplify right side
    5,239.04x = 34,583,809.23
  5. Step 5: Solve for x
    x = 34,583,809.23/5,239.04
  6. Step 6: Final answer
    x = 6,601.18

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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.