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Finding the Fourth Proportional to 4,216.97, 6,324.54 and 1,254.69

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Solution

The fourth proportional to 4,216.97, 6,324.54 and 1,254.69 is: 1,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.97 : 6,324.54 = 1,254.69 : x
  2. Step 2: Convert to fraction form
    4,216.97/6,324.54 = 1,254.69/x
  3. Step 3: Cross multiply
    4,216.97x = 6,324.54 × 1,254.69
  4. Step 4: Simplify right side
    4,216.97x = 7,935,337.09
  5. Step 5: Solve for x
    x = 7,935,337.09/4,216.97
  6. Step 6: Final answer
    x = 1,881.76

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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.