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Finding the Fourth Proportional to 4,526.08, 6,789.12 and 2,578.40

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Solution

The fourth proportional to 4,526.08, 6,789.12 and 2,578.40 is: 3,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526.08 : 6,789.12 = 2,578.40 : x
  2. Step 2: Convert to fraction form
    4,526.08/6,789.12 = 2,578.40/x
  3. Step 3: Cross multiply
    4,526.08x = 6,789.12 × 2,578.40
  4. Step 4: Simplify right side
    4,526.08x = 17,505,067.01
  5. Step 5: Solve for x
    x = 17,505,067.01/4,526.08
  6. Step 6: Final answer
    x = 3,867.60

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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.