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Finding the Fourth Proportional to 5,672.88, 7,824.20 and 5,035.47

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Solution

The fourth proportional to 5,672.88, 7,824.20 and 5,035.47 is: 6,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.88 : 7,824.20 = 5,035.47 : x
  2. Step 2: Convert to fraction form
    5,672.88/7,824.20 = 5,035.47/x
  3. Step 3: Cross multiply
    5,672.88x = 7,824.20 × 5,035.47
  4. Step 4: Simplify right side
    5,672.88x = 39,398,499.20
  5. Step 5: Solve for x
    x = 39,398,499.20/5,672.88
  6. Step 6: Final answer
    x = 6,945.06

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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.