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Finding the Fourth Proportional to 3,631.59, 5,471.64 and 3,285.36

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Solution

The fourth proportional to 3,631.59, 5,471.64 and 3,285.36 is: 4,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.59 : 5,471.64 = 3,285.36 : x
  2. Step 2: Convert to fraction form
    3,631.59/5,471.64 = 3,285.36/x
  3. Step 3: Cross multiply
    3,631.59x = 5,471.64 × 3,285.36
  4. Step 4: Simplify right side
    3,631.59x = 17,976,307.19
  5. Step 5: Solve for x
    x = 17,976,307.19/3,631.59
  6. Step 6: Final answer
    x = 4,949.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.