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Finding the Fourth Proportional to 4,254.42, 6,381.78 and 1,914.06

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Solution

The fourth proportional to 4,254.42, 6,381.78 and 1,914.06 is: 2,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.42 : 6,381.78 = 1,914.06 : x
  2. Step 2: Convert to fraction form
    4,254.42/6,381.78 = 1,914.06/x
  3. Step 3: Cross multiply
    4,254.42x = 6,381.78 × 1,914.06
  4. Step 4: Simplify right side
    4,254.42x = 12,215,109.83
  5. Step 5: Solve for x
    x = 12,215,109.83/4,254.42
  6. Step 6: Final answer
    x = 2,871.16

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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.