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Finding the Fourth Proportional to 3,546.38, 5,319.47 and 949.32

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Solution

The fourth proportional to 3,546.38, 5,319.47 and 949.32 is: 1,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.38 : 5,319.47 = 949.32 : x
  2. Step 2: Convert to fraction form
    3,546.38/5,319.47 = 949.32/x
  3. Step 3: Cross multiply
    3,546.38x = 5,319.47 × 949.32
  4. Step 4: Simplify right side
    3,546.38x = 5,049,881.63
  5. Step 5: Solve for x
    x = 5,049,881.63/3,546.38
  6. Step 6: Final answer
    x = 1,423.95

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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.