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Finding the Fourth Proportional to 4,423.40, 6,646.44 and 3,338

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Solution

The fourth proportional to 4,423.40, 6,646.44 and 3,338 is: 5,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,423.40 : 6,646.44 = 3,338 : x
  2. Step 2: Convert to fraction form
    4,423.40/6,646.44 = 3,338/x
  3. Step 3: Cross multiply
    4,423.40x = 6,646.44 × 3,338
  4. Step 4: Simplify right side
    4,423.40x = 22,185,816.72
  5. Step 5: Solve for x
    x = 22,185,816.72/4,423.40
  6. Step 6: Final answer
    x = 5,015.56

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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.