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Finding the Fourth Proportional to 4,446.04, 6,670.05 and 1,849

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Solution

The fourth proportional to 4,446.04, 6,670.05 and 1,849 is: 2,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.04 : 6,670.05 = 1,849 : x
  2. Step 2: Convert to fraction form
    4,446.04/6,670.05 = 1,849/x
  3. Step 3: Cross multiply
    4,446.04x = 6,670.05 × 1,849
  4. Step 4: Simplify right side
    4,446.04x = 12,332,922.45
  5. Step 5: Solve for x
    x = 12,332,922.45/4,446.04
  6. Step 6: Final answer
    x = 2,773.91

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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.