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Finding the Fourth Proportional to 4,218.99, 6,328.48 and 1,297.27

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Solution

The fourth proportional to 4,218.99, 6,328.48 and 1,297.27 is: 1,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.99 : 6,328.48 = 1,297.27 : x
  2. Step 2: Convert to fraction form
    4,218.99/6,328.48 = 1,297.27/x
  3. Step 3: Cross multiply
    4,218.99x = 6,328.48 × 1,297.27
  4. Step 4: Simplify right side
    4,218.99x = 8,209,718.75
  5. Step 5: Solve for x
    x = 8,209,718.75/4,218.99
  6. Step 6: Final answer
    x = 1,945.90

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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.