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Finding the Fourth Proportional to 4,218.93, 6,328.24 and 1,297.16

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Solution

The fourth proportional to 4,218.93, 6,328.24 and 1,297.16 is: 1,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.93 : 6,328.24 = 1,297.16 : x
  2. Step 2: Convert to fraction form
    4,218.93/6,328.24 = 1,297.16/x
  3. Step 3: Cross multiply
    4,218.93x = 6,328.24 × 1,297.16
  4. Step 4: Simplify right side
    4,218.93x = 8,208,701.67
  5. Step 5: Solve for x
    x = 8,208,701.67/4,218.93
  6. Step 6: Final answer
    x = 1,945.68

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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.