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Finding the Fourth Proportional to 5,259.08, 7,888.56 and 1,563.82

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Solution

The fourth proportional to 5,259.08, 7,888.56 and 1,563.82 is: 2,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.08 : 7,888.56 = 1,563.82 : x
  2. Step 2: Convert to fraction form
    5,259.08/7,888.56 = 1,563.82/x
  3. Step 3: Cross multiply
    5,259.08x = 7,888.56 × 1,563.82
  4. Step 4: Simplify right side
    5,259.08x = 12,336,287.90
  5. Step 5: Solve for x
    x = 12,336,287.90/5,259.08
  6. Step 6: Final answer
    x = 2,345.71

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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.