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Finding the Fourth Proportional to 4,254.12, 6,379.56 and 1,944

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Solution

The fourth proportional to 4,254.12, 6,379.56 and 1,944 is: 2,915.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.12 : 6,379.56 = 1,944 : x
  2. Step 2: Convert to fraction form
    4,254.12/6,379.56 = 1,944/x
  3. Step 3: Cross multiply
    4,254.12x = 6,379.56 × 1,944
  4. Step 4: Simplify right side
    4,254.12x = 12,401,864.64
  5. Step 5: Solve for x
    x = 12,401,864.64/4,254.12
  6. Step 6: Final answer
    x = 2,915.26

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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.