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Finding the Fourth Proportional to 4,852.76, 6,695.78 and 3,083.72

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Solution

The fourth proportional to 4,852.76, 6,695.78 and 3,083.72 is: 4,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.76 : 6,695.78 = 3,083.72 : x
  2. Step 2: Convert to fraction form
    4,852.76/6,695.78 = 3,083.72/x
  3. Step 3: Cross multiply
    4,852.76x = 6,695.78 × 3,083.72
  4. Step 4: Simplify right side
    4,852.76x = 20,647,861.80
  5. Step 5: Solve for x
    x = 20,647,861.80/4,852.76
  6. Step 6: Final answer
    x = 4,254.87

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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.