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Finding the Fourth Proportional to 5,666.97, 8,500.97 and 1,771.28

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Solution

The fourth proportional to 5,666.97, 8,500.97 and 1,771.28 is: 2,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.97 : 8,500.97 = 1,771.28 : x
  2. Step 2: Convert to fraction form
    5,666.97/8,500.97 = 1,771.28/x
  3. Step 3: Cross multiply
    5,666.97x = 8,500.97 × 1,771.28
  4. Step 4: Simplify right side
    5,666.97x = 15,057,598.14
  5. Step 5: Solve for x
    x = 15,057,598.14/5,666.97
  6. Step 6: Final answer
    x = 2,657.08

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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.