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Finding the Fourth Proportional to 4,442.30, 6,659.84 and 1,847.18

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Solution

The fourth proportional to 4,442.30, 6,659.84 and 1,847.18 is: 2,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.30 : 6,659.84 = 1,847.18 : x
  2. Step 2: Convert to fraction form
    4,442.30/6,659.84 = 1,847.18/x
  3. Step 3: Cross multiply
    4,442.30x = 6,659.84 × 1,847.18
  4. Step 4: Simplify right side
    4,442.30x = 12,301,894.57
  5. Step 5: Solve for x
    x = 12,301,894.57/4,442.30
  6. Step 6: Final answer
    x = 2,769.27

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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.