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Finding the Fourth Proportional to 5,200.77, 7,801.09 and 1,305.18

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Solution

The fourth proportional to 5,200.77, 7,801.09 and 1,305.18 is: 1,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.77 : 7,801.09 = 1,305.18 : x
  2. Step 2: Convert to fraction form
    5,200.77/7,801.09 = 1,305.18/x
  3. Step 3: Cross multiply
    5,200.77x = 7,801.09 × 1,305.18
  4. Step 4: Simplify right side
    5,200.77x = 10,181,781.11
  5. Step 5: Solve for x
    x = 10,181,781.11/5,200.77
  6. Step 6: Final answer
    x = 1,957.74

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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.