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Finding the Fourth Proportional to 3,699.14, 5,549.76 and 1,235.57

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Solution

The fourth proportional to 3,699.14, 5,549.76 and 1,235.57 is: 1,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.14 : 5,549.76 = 1,235.57 : x
  2. Step 2: Convert to fraction form
    3,699.14/5,549.76 = 1,235.57/x
  3. Step 3: Cross multiply
    3,699.14x = 5,549.76 × 1,235.57
  4. Step 4: Simplify right side
    3,699.14x = 6,857,089.21
  5. Step 5: Solve for x
    x = 6,857,089.21/3,699.14
  6. Step 6: Final answer
    x = 1,853.70

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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.