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Finding the Fourth Proportional to 3,697.72, 5,100.51 and 2,811.58

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Solution

The fourth proportional to 3,697.72, 5,100.51 and 2,811.58 is: 3,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.72 : 5,100.51 = 2,811.58 : x
  2. Step 2: Convert to fraction form
    3,697.72/5,100.51 = 2,811.58/x
  3. Step 3: Cross multiply
    3,697.72x = 5,100.51 × 2,811.58
  4. Step 4: Simplify right side
    3,697.72x = 14,340,491.91
  5. Step 5: Solve for x
    x = 14,340,491.91/3,697.72
  6. Step 6: Final answer
    x = 3,878.20

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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.