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Finding the Fourth Proportional to 4,854.72, 7,266.72 and 3,762.24

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Solution

The fourth proportional to 4,854.72, 7,266.72 and 3,762.24 is: 5,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.72 : 7,266.72 = 3,762.24 : x
  2. Step 2: Convert to fraction form
    4,854.72/7,266.72 = 3,762.24/x
  3. Step 3: Cross multiply
    4,854.72x = 7,266.72 × 3,762.24
  4. Step 4: Simplify right side
    4,854.72x = 27,339,144.65
  5. Step 5: Solve for x
    x = 27,339,144.65/4,854.72
  6. Step 6: Final answer
    x = 5,631.46

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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.