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Finding the Fourth Proportional to 3,651.76, 5,036.81 and 2,533.05

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Solution

The fourth proportional to 3,651.76, 5,036.81 and 2,533.05 is: 3,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.76 : 5,036.81 = 2,533.05 : x
  2. Step 2: Convert to fraction form
    3,651.76/5,036.81 = 2,533.05/x
  3. Step 3: Cross multiply
    3,651.76x = 5,036.81 × 2,533.05
  4. Step 4: Simplify right side
    3,651.76x = 12,758,478.91
  5. Step 5: Solve for x
    x = 12,758,478.91/3,651.76
  6. Step 6: Final answer
    x = 3,493.79

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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.