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Finding the Fourth Proportional to 4,573.83, 6,861 and 1,287.18

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Solution

The fourth proportional to 4,573.83, 6,861 and 1,287.18 is: 1,930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.83 : 6,861 = 1,287.18 : x
  2. Step 2: Convert to fraction form
    4,573.83/6,861 = 1,287.18/x
  3. Step 3: Cross multiply
    4,573.83x = 6,861 × 1,287.18
  4. Step 4: Simplify right side
    4,573.83x = 8,831,341.98
  5. Step 5: Solve for x
    x = 8,831,341.98/4,573.83
  6. Step 6: Final answer
    x = 1,930.84

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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.