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Finding the Fourth Proportional to 4,218.98, 6,328.35 and 1,297.22

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Solution

The fourth proportional to 4,218.98, 6,328.35 and 1,297.22 is: 1,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.98 : 6,328.35 = 1,297.22 : x
  2. Step 2: Convert to fraction form
    4,218.98/6,328.35 = 1,297.22/x
  3. Step 3: Cross multiply
    4,218.98x = 6,328.35 × 1,297.22
  4. Step 4: Simplify right side
    4,218.98x = 8,209,262.19
  5. Step 5: Solve for x
    x = 8,209,262.19/4,218.98
  6. Step 6: Final answer
    x = 1,945.79

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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.