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Finding the Fourth Proportional to 4,446.34, 6,670.19 and 1,523.95

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Solution

The fourth proportional to 4,446.34, 6,670.19 and 1,523.95 is: 2,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.34 : 6,670.19 = 1,523.95 : x
  2. Step 2: Convert to fraction form
    4,446.34/6,670.19 = 1,523.95/x
  3. Step 3: Cross multiply
    4,446.34x = 6,670.19 × 1,523.95
  4. Step 4: Simplify right side
    4,446.34x = 10,165,023.18
  5. Step 5: Solve for x
    x = 10,165,023.18/4,446.34
  6. Step 6: Final answer
    x = 2,286.16

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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.