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Finding the Fourth Proportional to 5,048.71, 7,563.65 and 3,658.65

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Solution

The fourth proportional to 5,048.71, 7,563.65 and 3,658.65 is: 5,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.71 : 7,563.65 = 3,658.65 : x
  2. Step 2: Convert to fraction form
    5,048.71/7,563.65 = 3,658.65/x
  3. Step 3: Cross multiply
    5,048.71x = 7,563.65 × 3,658.65
  4. Step 4: Simplify right side
    5,048.71x = 27,672,748.07
  5. Step 5: Solve for x
    x = 27,672,748.07/5,048.71
  6. Step 6: Final answer
    x = 5,481.15

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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.