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Finding the Fourth Proportional to 4,566.57, 6,843.65 and 2,370.75

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Solution

The fourth proportional to 4,566.57, 6,843.65 and 2,370.75 is: 3,552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.57 : 6,843.65 = 2,370.75 : x
  2. Step 2: Convert to fraction form
    4,566.57/6,843.65 = 2,370.75/x
  3. Step 3: Cross multiply
    4,566.57x = 6,843.65 × 2,370.75
  4. Step 4: Simplify right side
    4,566.57x = 16,224,571.38
  5. Step 5: Solve for x
    x = 16,224,571.38/4,566.57
  6. Step 6: Final answer
    x = 3,552.90

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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.