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Finding the Fourth Proportional to 5,664.29, 7,824.20 and 4,723.16

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Solution

The fourth proportional to 5,664.29, 7,824.20 and 4,723.16 is: 6,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.29 : 7,824.20 = 4,723.16 : x
  2. Step 2: Convert to fraction form
    5,664.29/7,824.20 = 4,723.16/x
  3. Step 3: Cross multiply
    5,664.29x = 7,824.20 × 4,723.16
  4. Step 4: Simplify right side
    5,664.29x = 36,954,885.74
  5. Step 5: Solve for x
    x = 36,954,885.74/5,664.29
  6. Step 6: Final answer
    x = 6,524.19

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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.