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Finding the Fourth Proportional to 3,523.20, 5,284.80 and 926.08

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Solution

The fourth proportional to 3,523.20, 5,284.80 and 926.08 is: 1,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.20 : 5,284.80 = 926.08 : x
  2. Step 2: Convert to fraction form
    3,523.20/5,284.80 = 926.08/x
  3. Step 3: Cross multiply
    3,523.20x = 5,284.80 × 926.08
  4. Step 4: Simplify right side
    3,523.20x = 4,894,147.58
  5. Step 5: Solve for x
    x = 4,894,147.58/3,523.20
  6. Step 6: Final answer
    x = 1,389.12

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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.