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Finding the Fourth Proportional to 4,204.85, 6,302.12 and 1,864.56

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Solution

The fourth proportional to 4,204.85, 6,302.12 and 1,864.56 is: 2,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.85 : 6,302.12 = 1,864.56 : x
  2. Step 2: Convert to fraction form
    4,204.85/6,302.12 = 1,864.56/x
  3. Step 3: Cross multiply
    4,204.85x = 6,302.12 × 1,864.56
  4. Step 4: Simplify right side
    4,204.85x = 11,750,671.54
  5. Step 5: Solve for x
    x = 11,750,671.54/4,204.85
  6. Step 6: Final answer
    x = 2,794.55

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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.