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Finding the Fourth Proportional to 4,810.24, 7,216.80 and 1,523.80

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Solution

The fourth proportional to 4,810.24, 7,216.80 and 1,523.80 is: 2,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.24 : 7,216.80 = 1,523.80 : x
  2. Step 2: Convert to fraction form
    4,810.24/7,216.80 = 1,523.80/x
  3. Step 3: Cross multiply
    4,810.24x = 7,216.80 × 1,523.80
  4. Step 4: Simplify right side
    4,810.24x = 10,996,959.84
  5. Step 5: Solve for x
    x = 10,996,959.84/4,810.24
  6. Step 6: Final answer
    x = 2,286.16

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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.