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Finding the Fourth Proportional to 5,991.64, 8,988.10 and 2,297

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Solution

The fourth proportional to 5,991.64, 8,988.10 and 2,297 is: 3,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991.64 : 8,988.10 = 2,297 : x
  2. Step 2: Convert to fraction form
    5,991.64/8,988.10 = 2,297/x
  3. Step 3: Cross multiply
    5,991.64x = 8,988.10 × 2,297
  4. Step 4: Simplify right side
    5,991.64x = 20,645,665.70
  5. Step 5: Solve for x
    x = 20,645,665.70/5,991.64
  6. Step 6: Final answer
    x = 3,445.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.