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Finding the Fourth Proportional to 4,808.72, 7,214.13 and 1,521.84

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Solution

The fourth proportional to 4,808.72, 7,214.13 and 1,521.84 is: 2,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.72 : 7,214.13 = 1,521.84 : x
  2. Step 2: Convert to fraction form
    4,808.72/7,214.13 = 1,521.84/x
  3. Step 3: Cross multiply
    4,808.72x = 7,214.13 × 1,521.84
  4. Step 4: Simplify right side
    4,808.72x = 10,978,778.65
  5. Step 5: Solve for x
    x = 10,978,778.65/4,808.72
  6. Step 6: Final answer
    x = 2,283.10

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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.