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Finding the Fourth Proportional to 4,152.76, 5,727.80 and 2,824.10

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Solution

The fourth proportional to 4,152.76, 5,727.80 and 2,824.10 is: 3,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.76 : 5,727.80 = 2,824.10 : x
  2. Step 2: Convert to fraction form
    4,152.76/5,727.80 = 2,824.10/x
  3. Step 3: Cross multiply
    4,152.76x = 5,727.80 × 2,824.10
  4. Step 4: Simplify right side
    4,152.76x = 16,175,879.98
  5. Step 5: Solve for x
    x = 16,175,879.98/4,152.76
  6. Step 6: Final answer
    x = 3,895.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.