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Finding the Fourth Proportional to 3,661.64, 5,037.10 and 3,211.48

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Solution

The fourth proportional to 3,661.64, 5,037.10 and 3,211.48 is: 4,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.64 : 5,037.10 = 3,211.48 : x
  2. Step 2: Convert to fraction form
    3,661.64/5,037.10 = 3,211.48/x
  3. Step 3: Cross multiply
    3,661.64x = 5,037.10 × 3,211.48
  4. Step 4: Simplify right side
    3,661.64x = 16,176,545.91
  5. Step 5: Solve for x
    x = 16,176,545.91/3,661.64
  6. Step 6: Final answer
    x = 4,417.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.