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Finding the Fourth Proportional to 5,712.62, 7,880.20 and 3,354.32

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Solution

The fourth proportional to 5,712.62, 7,880.20 and 3,354.32 is: 4,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.62 : 7,880.20 = 3,354.32 : x
  2. Step 2: Convert to fraction form
    5,712.62/7,880.20 = 3,354.32/x
  3. Step 3: Cross multiply
    5,712.62x = 7,880.20 × 3,354.32
  4. Step 4: Simplify right side
    5,712.62x = 26,432,712.46
  5. Step 5: Solve for x
    x = 26,432,712.46/5,712.62
  6. Step 6: Final answer
    x = 4,627.07

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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.