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Finding the Fourth Proportional to 4,218.93, 6,328.17 and 1,296.86

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Solution

The fourth proportional to 4,218.93, 6,328.17 and 1,296.86 is: 1,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.93 : 6,328.17 = 1,296.86 : x
  2. Step 2: Convert to fraction form
    4,218.93/6,328.17 = 1,296.86/x
  3. Step 3: Cross multiply
    4,218.93x = 6,328.17 × 1,296.86
  4. Step 4: Simplify right side
    4,218.93x = 8,206,718.91
  5. Step 5: Solve for x
    x = 8,206,718.91/4,218.93
  6. Step 6: Final answer
    x = 1,945.21

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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.