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Finding the Fourth Proportional to 5,669.32, 7,824.40 and 3,431.28

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Solution

The fourth proportional to 5,669.32, 7,824.40 and 3,431.28 is: 4,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.32 : 7,824.40 = 3,431.28 : x
  2. Step 2: Convert to fraction form
    5,669.32/7,824.40 = 3,431.28/x
  3. Step 3: Cross multiply
    5,669.32x = 7,824.40 × 3,431.28
  4. Step 4: Simplify right side
    5,669.32x = 26,847,707.23
  5. Step 5: Solve for x
    x = 26,847,707.23/5,669.32
  6. Step 6: Final answer
    x = 4,735.61

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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.