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Finding the Fourth Proportional to 4,532.68, 6,784.44 and 2,338.42

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Solution

The fourth proportional to 4,532.68, 6,784.44 and 2,338.42 is: 3,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.68 : 6,784.44 = 2,338.42 : x
  2. Step 2: Convert to fraction form
    4,532.68/6,784.44 = 2,338.42/x
  3. Step 3: Cross multiply
    4,532.68x = 6,784.44 × 2,338.42
  4. Step 4: Simplify right side
    4,532.68x = 15,864,870.18
  5. Step 5: Solve for x
    x = 15,864,870.18/4,532.68
  6. Step 6: Final answer
    x = 3,500.11

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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.