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Finding the Fourth Proportional to 5,261.56, 7,893.55 and 1,563.71

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Solution

The fourth proportional to 5,261.56, 7,893.55 and 1,563.71 is: 2,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.56 : 7,893.55 = 1,563.71 : x
  2. Step 2: Convert to fraction form
    5,261.56/7,893.55 = 1,563.71/x
  3. Step 3: Cross multiply
    5,261.56x = 7,893.55 × 1,563.71
  4. Step 4: Simplify right side
    5,261.56x = 12,343,185.56
  5. Step 5: Solve for x
    x = 12,343,185.56/5,261.56
  6. Step 6: Final answer
    x = 2,345.92

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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.