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Finding the Fourth Proportional to 5,716.84, 7,881.67 and 4,122.16

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Solution

The fourth proportional to 5,716.84, 7,881.67 and 4,122.16 is: 5,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.84 : 7,881.67 = 4,122.16 : x
  2. Step 2: Convert to fraction form
    5,716.84/7,881.67 = 4,122.16/x
  3. Step 3: Cross multiply
    5,716.84x = 7,881.67 × 4,122.16
  4. Step 4: Simplify right side
    5,716.84x = 32,489,504.81
  5. Step 5: Solve for x
    x = 32,489,504.81/5,716.84
  6. Step 6: Final answer
    x = 5,683.12

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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.