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Finding the Fourth Proportional to 4,206.47, 6,310.14 and 2,015.82

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Solution

The fourth proportional to 4,206.47, 6,310.14 and 2,015.82 is: 3,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.47 : 6,310.14 = 2,015.82 : x
  2. Step 2: Convert to fraction form
    4,206.47/6,310.14 = 2,015.82/x
  3. Step 3: Cross multiply
    4,206.47x = 6,310.14 × 2,015.82
  4. Step 4: Simplify right side
    4,206.47x = 12,720,106.41
  5. Step 5: Solve for x
    x = 12,720,106.41/4,206.47
  6. Step 6: Final answer
    x = 3,023.94

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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.