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Finding the Fourth Proportional to 5,771.05, 7,959.97 and 5,578.17

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Solution

The fourth proportional to 5,771.05, 7,959.97 and 5,578.17 is: 7,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.05 : 7,959.97 = 5,578.17 : x
  2. Step 2: Convert to fraction form
    5,771.05/7,959.97 = 5,578.17/x
  3. Step 3: Cross multiply
    5,771.05x = 7,959.97 × 5,578.17
  4. Step 4: Simplify right side
    5,771.05x = 44,402,042.98
  5. Step 5: Solve for x
    x = 44,402,042.98/5,771.05
  6. Step 6: Final answer
    x = 7,693.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.