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Finding the Fourth Proportional to 4,195.60, 6,284.59 and 2,002.12

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Solution

The fourth proportional to 4,195.60, 6,284.59 and 2,002.12 is: 2,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.60 : 6,284.59 = 2,002.12 : x
  2. Step 2: Convert to fraction form
    4,195.60/6,284.59 = 2,002.12/x
  3. Step 3: Cross multiply
    4,195.60x = 6,284.59 × 2,002.12
  4. Step 4: Simplify right side
    4,195.60x = 12,582,482.61
  5. Step 5: Solve for x
    x = 12,582,482.61/4,195.60
  6. Step 6: Final answer
    x = 2,998.97

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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.