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Finding the Fourth Proportional to 4,146.60, 6,214.86 and 2,584.20

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Solution

The fourth proportional to 4,146.60, 6,214.86 and 2,584.20 is: 3,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.60 : 6,214.86 = 2,584.20 : x
  2. Step 2: Convert to fraction form
    4,146.60/6,214.86 = 2,584.20/x
  3. Step 3: Cross multiply
    4,146.60x = 6,214.86 × 2,584.20
  4. Step 4: Simplify right side
    4,146.60x = 16,060,441.21
  5. Step 5: Solve for x
    x = 16,060,441.21/4,146.60
  6. Step 6: Final answer
    x = 3,873.16

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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.