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Finding the Fourth Proportional to 5,261.70, 7,891.47 and 1,563.87

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Solution

The fourth proportional to 5,261.70, 7,891.47 and 1,563.87 is: 2,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.70 : 7,891.47 = 1,563.87 : x
  2. Step 2: Convert to fraction form
    5,261.70/7,891.47 = 1,563.87/x
  3. Step 3: Cross multiply
    5,261.70x = 7,891.47 × 1,563.87
  4. Step 4: Simplify right side
    5,261.70x = 12,341,233.19
  5. Step 5: Solve for x
    x = 12,341,233.19/5,261.70
  6. Step 6: Final answer
    x = 2,345.48

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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.