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Finding the Fourth Proportional to 3,699.36, 5,508.84 and 3,658.32

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Solution

The fourth proportional to 3,699.36, 5,508.84 and 3,658.32 is: 5,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.36 : 5,508.84 = 3,658.32 : x
  2. Step 2: Convert to fraction form
    3,699.36/5,508.84 = 3,658.32/x
  3. Step 3: Cross multiply
    3,699.36x = 5,508.84 × 3,658.32
  4. Step 4: Simplify right side
    3,699.36x = 20,153,099.55
  5. Step 5: Solve for x
    x = 20,153,099.55/3,699.36
  6. Step 6: Final answer
    x = 5,447.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.