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Finding the Fourth Proportional to 5,824.32, 8,039.26 and 3,468.04

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Solution

The fourth proportional to 5,824.32, 8,039.26 and 3,468.04 is: 4,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.32 : 8,039.26 = 3,468.04 : x
  2. Step 2: Convert to fraction form
    5,824.32/8,039.26 = 3,468.04/x
  3. Step 3: Cross multiply
    5,824.32x = 8,039.26 × 3,468.04
  4. Step 4: Simplify right side
    5,824.32x = 27,880,475.25
  5. Step 5: Solve for x
    x = 27,880,475.25/5,824.32
  6. Step 6: Final answer
    x = 4,786.91

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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.