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Finding the Fourth Proportional to 4,725.72, 7,047.30 and 4,194.66

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Solution

The fourth proportional to 4,725.72, 7,047.30 and 4,194.66 is: 6,255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.72 : 7,047.30 = 4,194.66 : x
  2. Step 2: Convert to fraction form
    4,725.72/7,047.30 = 4,194.66/x
  3. Step 3: Cross multiply
    4,725.72x = 7,047.30 × 4,194.66
  4. Step 4: Simplify right side
    4,725.72x = 29,561,027.42
  5. Step 5: Solve for x
    x = 29,561,027.42/4,725.72
  6. Step 6: Final answer
    x = 6,255.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.