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Finding the Fourth Proportional to 3,362.66, 5,043.68 and 897.39

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Solution

The fourth proportional to 3,362.66, 5,043.68 and 897.39 is: 1,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.66 : 5,043.68 = 897.39 : x
  2. Step 2: Convert to fraction form
    3,362.66/5,043.68 = 897.39/x
  3. Step 3: Cross multiply
    3,362.66x = 5,043.68 × 897.39
  4. Step 4: Simplify right side
    3,362.66x = 4,526,146.87
  5. Step 5: Solve for x
    x = 4,526,146.87/3,362.66
  6. Step 6: Final answer
    x = 1,346.00

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Why These Related Problems?

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