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Finding the Fourth Proportional to 4,921.65, 7,382.37 and 1,223.85

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Solution

The fourth proportional to 4,921.65, 7,382.37 and 1,223.85 is: 1,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.65 : 7,382.37 = 1,223.85 : x
  2. Step 2: Convert to fraction form
    4,921.65/7,382.37 = 1,223.85/x
  3. Step 3: Cross multiply
    4,921.65x = 7,382.37 × 1,223.85
  4. Step 4: Simplify right side
    4,921.65x = 9,034,913.52
  5. Step 5: Solve for x
    x = 9,034,913.52/4,921.65
  6. Step 6: Final answer
    x = 1,835.75

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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.