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Finding the Fourth Proportional to 4,203.16, 6,305.10 and 1,282.12

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Solution

The fourth proportional to 4,203.16, 6,305.10 and 1,282.12 is: 1,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.16 : 6,305.10 = 1,282.12 : x
  2. Step 2: Convert to fraction form
    4,203.16/6,305.10 = 1,282.12/x
  3. Step 3: Cross multiply
    4,203.16x = 6,305.10 × 1,282.12
  4. Step 4: Simplify right side
    4,203.16x = 8,083,894.81
  5. Step 5: Solve for x
    x = 8,083,894.81/4,203.16
  6. Step 6: Final answer
    x = 1,923.29

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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.