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Finding the Fourth Proportional to 5,710.32, 7,880.76 and 4,093.97

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Solution

The fourth proportional to 5,710.32, 7,880.76 and 4,093.97 is: 5,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.32 : 7,880.76 = 4,093.97 : x
  2. Step 2: Convert to fraction form
    5,710.32/7,880.76 = 4,093.97/x
  3. Step 3: Cross multiply
    5,710.32x = 7,880.76 × 4,093.97
  4. Step 4: Simplify right side
    5,710.32x = 32,263,555.61
  5. Step 5: Solve for x
    x = 32,263,555.61/5,710.32
  6. Step 6: Final answer
    x = 5,650.04

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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.