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Finding the Fourth Proportional to 4,810.81, 7,216.47 and 1,523.65

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Solution

The fourth proportional to 4,810.81, 7,216.47 and 1,523.65 is: 2,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.81 : 7,216.47 = 1,523.65 : x
  2. Step 2: Convert to fraction form
    4,810.81/7,216.47 = 1,523.65/x
  3. Step 3: Cross multiply
    4,810.81x = 7,216.47 × 1,523.65
  4. Step 4: Simplify right side
    4,810.81x = 10,995,374.52
  5. Step 5: Solve for x
    x = 10,995,374.52/4,810.81
  6. Step 6: Final answer
    x = 2,285.56

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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.