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Finding the Fourth Proportional to 5,735.46, 7,917.17 and 5,577.48

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Solution

The fourth proportional to 5,735.46, 7,917.17 and 5,577.48 is: 7,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.46 : 7,917.17 = 5,577.48 : x
  2. Step 2: Convert to fraction form
    5,735.46/7,917.17 = 5,577.48/x
  3. Step 3: Cross multiply
    5,735.46x = 7,917.17 × 5,577.48
  4. Step 4: Simplify right side
    5,735.46x = 44,157,857.33
  5. Step 5: Solve for x
    x = 44,157,857.33/5,735.46
  6. Step 6: Final answer
    x = 7,699.10

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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.