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Finding the Fourth Proportional to 4,069.64, 5,615.16 and 2,811.80

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Solution

The fourth proportional to 4,069.64, 5,615.16 and 2,811.80 is: 3,879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.64 : 5,615.16 = 2,811.80 : x
  2. Step 2: Convert to fraction form
    4,069.64/5,615.16 = 2,811.80/x
  3. Step 3: Cross multiply
    4,069.64x = 5,615.16 × 2,811.80
  4. Step 4: Simplify right side
    4,069.64x = 15,788,706.89
  5. Step 5: Solve for x
    x = 15,788,706.89/4,069.64
  6. Step 6: Final answer
    x = 3,879.63

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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.