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Finding the Fourth Proportional to 5,224.25, 7,845.15 and 3,254.48

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Solution

The fourth proportional to 5,224.25, 7,845.15 and 3,254.48 is: 4,887.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.25 : 7,845.15 = 3,254.48 : x
  2. Step 2: Convert to fraction form
    5,224.25/7,845.15 = 3,254.48/x
  3. Step 3: Cross multiply
    5,224.25x = 7,845.15 × 3,254.48
  4. Step 4: Simplify right side
    5,224.25x = 25,531,886.17
  5. Step 5: Solve for x
    x = 25,531,886.17/5,224.25
  6. Step 6: Final answer
    x = 4,887.19

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1.5x scale

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.