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Finding the Fourth Proportional to 4,805.04, 6,617.66 and 4,141.65

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Solution

The fourth proportional to 4,805.04, 6,617.66 and 4,141.65 is: 5,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.04 : 6,617.66 = 4,141.65 : x
  2. Step 2: Convert to fraction form
    4,805.04/6,617.66 = 4,141.65/x
  3. Step 3: Cross multiply
    4,805.04x = 6,617.66 × 4,141.65
  4. Step 4: Simplify right side
    4,805.04x = 27,408,031.54
  5. Step 5: Solve for x
    x = 27,408,031.54/4,805.04
  6. Step 6: Final answer
    x = 5,704.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.