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Finding the Fourth Proportional to 3,639.84, 5,460.09 and 1,174.08

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Solution

The fourth proportional to 3,639.84, 5,460.09 and 1,174.08 is: 1,761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.84 : 5,460.09 = 1,174.08 : x
  2. Step 2: Convert to fraction form
    3,639.84/5,460.09 = 1,174.08/x
  3. Step 3: Cross multiply
    3,639.84x = 5,460.09 × 1,174.08
  4. Step 4: Simplify right side
    3,639.84x = 6,410,582.47
  5. Step 5: Solve for x
    x = 6,410,582.47/3,639.84
  6. Step 6: Final answer
    x = 1,761.23

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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.