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Finding the Fourth Proportional to 4,446.64, 6,670.91 and 1,524.16

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Solution

The fourth proportional to 4,446.64, 6,670.91 and 1,524.16 is: 2,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.64 : 6,670.91 = 1,524.16 : x
  2. Step 2: Convert to fraction form
    4,446.64/6,670.91 = 1,524.16/x
  3. Step 3: Cross multiply
    4,446.64x = 6,670.91 × 1,524.16
  4. Step 4: Simplify right side
    4,446.64x = 10,167,534.19
  5. Step 5: Solve for x
    x = 10,167,534.19/4,446.64
  6. Step 6: Final answer
    x = 2,286.57

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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.