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Finding the Fourth Proportional to 3,699.68, 5,549.21 and 1,102.61

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Solution

The fourth proportional to 3,699.68, 5,549.21 and 1,102.61 is: 1,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.68 : 5,549.21 = 1,102.61 : x
  2. Step 2: Convert to fraction form
    3,699.68/5,549.21 = 1,102.61/x
  3. Step 3: Cross multiply
    3,699.68x = 5,549.21 × 1,102.61
  4. Step 4: Simplify right side
    3,699.68x = 6,118,626.93
  5. Step 5: Solve for x
    x = 6,118,626.93/3,699.68
  6. Step 6: Final answer
    x = 1,653.83

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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.