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Finding the Fourth Proportional to 3,338.40, 5,007.66 and 3,182.64

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Solution

The fourth proportional to 3,338.40, 5,007.66 and 3,182.64 is: 4,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.40 : 5,007.66 = 3,182.64 : x
  2. Step 2: Convert to fraction form
    3,338.40/5,007.66 = 3,182.64/x
  3. Step 3: Cross multiply
    3,338.40x = 5,007.66 × 3,182.64
  4. Step 4: Simplify right side
    3,338.40x = 15,937,579.02
  5. Step 5: Solve for x
    x = 15,937,579.02/3,338.40
  6. Step 6: Final answer
    x = 4,774.02

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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.