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Finding the Fourth Proportional to 4,218.08, 6,328.08 and 1,296.80

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Solution

The fourth proportional to 4,218.08, 6,328.08 and 1,296.80 is: 1,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.08 : 6,328.08 = 1,296.80 : x
  2. Step 2: Convert to fraction form
    4,218.08/6,328.08 = 1,296.80/x
  3. Step 3: Cross multiply
    4,218.08x = 6,328.08 × 1,296.80
  4. Step 4: Simplify right side
    4,218.08x = 8,206,254.14
  5. Step 5: Solve for x
    x = 8,206,254.14/4,218.08
  6. Step 6: Final answer
    x = 1,945.50

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Why These Related Problems?

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