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Finding the Fourth Proportional to 5,446.40, 7,516.20 and 3,088.64

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Solution

The fourth proportional to 5,446.40, 7,516.20 and 3,088.64 is: 4,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.40 : 7,516.20 = 3,088.64 : x
  2. Step 2: Convert to fraction form
    5,446.40/7,516.20 = 3,088.64/x
  3. Step 3: Cross multiply
    5,446.40x = 7,516.20 × 3,088.64
  4. Step 4: Simplify right side
    5,446.40x = 23,214,835.97
  5. Step 5: Solve for x
    x = 23,214,835.97/5,446.40
  6. Step 6: Final answer
    x = 4,262.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.