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Finding the Fourth Proportional to 4,203.98, 6,305.74 and 1,282.04

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Solution

The fourth proportional to 4,203.98, 6,305.74 and 1,282.04 is: 1,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.98 : 6,305.74 = 1,282.04 : x
  2. Step 2: Convert to fraction form
    4,203.98/6,305.74 = 1,282.04/x
  3. Step 3: Cross multiply
    4,203.98x = 6,305.74 × 1,282.04
  4. Step 4: Simplify right side
    4,203.98x = 8,084,210.91
  5. Step 5: Solve for x
    x = 8,084,210.91/4,203.98
  6. Step 6: Final answer
    x = 1,922.99

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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.