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Finding the Fourth Proportional to 4,204.04, 6,307.06 and 1,282.16

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Solution

The fourth proportional to 4,204.04, 6,307.06 and 1,282.16 is: 1,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.04 : 6,307.06 = 1,282.16 : x
  2. Step 2: Convert to fraction form
    4,204.04/6,307.06 = 1,282.16/x
  3. Step 3: Cross multiply
    4,204.04x = 6,307.06 × 1,282.16
  4. Step 4: Simplify right side
    4,204.04x = 8,086,660.05
  5. Step 5: Solve for x
    x = 8,086,660.05/4,204.04
  6. Step 6: Final answer
    x = 1,923.54

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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.