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Finding the Fourth Proportional to 4,254.48, 6,381.72 and 4,157.28

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Solution

The fourth proportional to 4,254.48, 6,381.72 and 4,157.28 is: 6,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.48 : 6,381.72 = 4,157.28 : x
  2. Step 2: Convert to fraction form
    4,254.48/6,381.72 = 4,157.28/x
  3. Step 3: Cross multiply
    4,254.48x = 6,381.72 × 4,157.28
  4. Step 4: Simplify right side
    4,254.48x = 26,530,596.92
  5. Step 5: Solve for x
    x = 26,530,596.92/4,254.48
  6. Step 6: Final answer
    x = 6,235.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.