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Finding the Fourth Proportional to 4,810.98, 7,216.66 and 1,524.00

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Solution

The fourth proportional to 4,810.98, 7,216.66 and 1,524.00 is: 2,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.98 : 7,216.66 = 1,524.00 : x
  2. Step 2: Convert to fraction form
    4,810.98/7,216.66 = 1,524.00/x
  3. Step 3: Cross multiply
    4,810.98x = 7,216.66 × 1,524.00
  4. Step 4: Simplify right side
    4,810.98x = 10,998,157.57
  5. Step 5: Solve for x
    x = 10,998,157.57/4,810.98
  6. Step 6: Final answer
    x = 2,286.06

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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.