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Finding the Fourth Proportional to 5,260.94, 7,892.62 and 1,563.08

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Solution

The fourth proportional to 5,260.94, 7,892.62 and 1,563.08 is: 2,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.94 : 7,892.62 = 1,563.08 : x
  2. Step 2: Convert to fraction form
    5,260.94/7,892.62 = 1,563.08/x
  3. Step 3: Cross multiply
    5,260.94x = 7,892.62 × 1,563.08
  4. Step 4: Simplify right side
    5,260.94x = 12,336,788.65
  5. Step 5: Solve for x
    x = 12,336,788.65/5,260.94
  6. Step 6: Final answer
    x = 2,344.98

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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.