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Finding the Fourth Proportional to 4,810.47, 7,216.52 and 1,524.30

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Solution

The fourth proportional to 4,810.47, 7,216.52 and 1,524.30 is: 2,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.47 : 7,216.52 = 1,524.30 : x
  2. Step 2: Convert to fraction form
    4,810.47/7,216.52 = 1,524.30/x
  3. Step 3: Cross multiply
    4,810.47x = 7,216.52 × 1,524.30
  4. Step 4: Simplify right side
    4,810.47x = 11,000,133.81
  5. Step 5: Solve for x
    x = 11,000,133.81/4,810.47
  6. Step 6: Final answer
    x = 2,286.71

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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.