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Finding the Fourth Proportional to 4,205.02, 6,308.90 and 2,013.46

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Solution

The fourth proportional to 4,205.02, 6,308.90 and 2,013.46 is: 3,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.02 : 6,308.90 = 2,013.46 : x
  2. Step 2: Convert to fraction form
    4,205.02/6,308.90 = 2,013.46/x
  3. Step 3: Cross multiply
    4,205.02x = 6,308.90 × 2,013.46
  4. Step 4: Simplify right side
    4,205.02x = 12,702,717.79
  5. Step 5: Solve for x
    x = 12,702,717.79/4,205.02
  6. Step 6: Final answer
    x = 3,020.85

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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.