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Finding the Fourth Proportional to 5,755.68, 7,941.60 and 3,663.36

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Solution

The fourth proportional to 5,755.68, 7,941.60 and 3,663.36 is: 5,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.68 : 7,941.60 = 3,663.36 : x
  2. Step 2: Convert to fraction form
    5,755.68/7,941.60 = 3,663.36/x
  3. Step 3: Cross multiply
    5,755.68x = 7,941.60 × 3,663.36
  4. Step 4: Simplify right side
    5,755.68x = 29,092,939.78
  5. Step 5: Solve for x
    x = 29,092,939.78/5,755.68
  6. Step 6: Final answer
    x = 5,054.65

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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.