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Finding the Fourth Proportional to 3,362.64, 5,043.98 and 897.42

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Solution

The fourth proportional to 3,362.64, 5,043.98 and 897.42 is: 1,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.64 : 5,043.98 = 897.42 : x
  2. Step 2: Convert to fraction form
    3,362.64/5,043.98 = 897.42/x
  3. Step 3: Cross multiply
    3,362.64x = 5,043.98 × 897.42
  4. Step 4: Simplify right side
    3,362.64x = 4,526,568.53
  5. Step 5: Solve for x
    x = 4,526,568.53/3,362.64
  6. Step 6: Final answer
    x = 1,346.14

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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.