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Finding the Fourth Proportional to 5,672.52, 7,824.90 and 3,549.48

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Solution

The fourth proportional to 5,672.52, 7,824.90 and 3,549.48 is: 4,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.52 : 7,824.90 = 3,549.48 : x
  2. Step 2: Convert to fraction form
    5,672.52/7,824.90 = 3,549.48/x
  3. Step 3: Cross multiply
    5,672.52x = 7,824.90 × 3,549.48
  4. Step 4: Simplify right side
    5,672.52x = 27,774,326.05
  5. Step 5: Solve for x
    x = 27,774,326.05/5,672.52
  6. Step 6: Final answer
    x = 4,896.29

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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.