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Finding the Fourth Proportional to 5,709.60, 7,881.37 and 4,229.46

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Solution

The fourth proportional to 5,709.60, 7,881.37 and 4,229.46 is: 5,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.60 : 7,881.37 = 4,229.46 : x
  2. Step 2: Convert to fraction form
    5,709.60/7,881.37 = 4,229.46/x
  3. Step 3: Cross multiply
    5,709.60x = 7,881.37 × 4,229.46
  4. Step 4: Simplify right side
    5,709.60x = 33,333,928.59
  5. Step 5: Solve for x
    x = 33,333,928.59/5,709.60
  6. Step 6: Final answer
    x = 5,838.22

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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.