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Finding the Fourth Proportional to 3,362.86, 5,043.82 and 897.88

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Solution

The fourth proportional to 3,362.86, 5,043.82 and 897.88 is: 1,346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.86 : 5,043.82 = 897.88 : x
  2. Step 2: Convert to fraction form
    3,362.86/5,043.82 = 897.88/x
  3. Step 3: Cross multiply
    3,362.86x = 5,043.82 × 897.88
  4. Step 4: Simplify right side
    3,362.86x = 4,528,745.10
  5. Step 5: Solve for x
    x = 4,528,745.10/3,362.86
  6. Step 6: Final answer
    x = 1,346.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.