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Finding the Fourth Proportional to 3,699.77, 5,550.77 and 1,563.65

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Solution

The fourth proportional to 3,699.77, 5,550.77 and 1,563.65 is: 2,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.77 : 5,550.77 = 1,563.65 : x
  2. Step 2: Convert to fraction form
    3,699.77/5,550.77 = 1,563.65/x
  3. Step 3: Cross multiply
    3,699.77x = 5,550.77 × 1,563.65
  4. Step 4: Simplify right side
    3,699.77x = 8,679,425.94
  5. Step 5: Solve for x
    x = 8,679,425.94/3,699.77
  6. Step 6: Final answer
    x = 2,345.94

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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.