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Finding the Fourth Proportional to 5,931.62, 8,896.41 and 1,982.51

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Solution

The fourth proportional to 5,931.62, 8,896.41 and 1,982.51 is: 2,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.62 : 8,896.41 = 1,982.51 : x
  2. Step 2: Convert to fraction form
    5,931.62/8,896.41 = 1,982.51/x
  3. Step 3: Cross multiply
    5,931.62x = 8,896.41 × 1,982.51
  4. Step 4: Simplify right side
    5,931.62x = 17,637,221.79
  5. Step 5: Solve for x
    x = 17,637,221.79/5,931.62
  6. Step 6: Final answer
    x = 2,973.42

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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.