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Finding the Fourth Proportional to 5,446.30, 7,516 and 3,088.40

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Solution

The fourth proportional to 5,446.30, 7,516 and 3,088.40 is: 4,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.30 : 7,516 = 3,088.40 : x
  2. Step 2: Convert to fraction form
    5,446.30/7,516 = 3,088.40/x
  3. Step 3: Cross multiply
    5,446.30x = 7,516 × 3,088.40
  4. Step 4: Simplify right side
    5,446.30x = 23,212,414.40
  5. Step 5: Solve for x
    x = 23,212,414.40/5,446.30
  6. Step 6: Final answer
    x = 4,262.05

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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.