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Finding the Fourth Proportional to 5,954.60, 8,217.76 and 3,302.25

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Solution

The fourth proportional to 5,954.60, 8,217.76 and 3,302.25 is: 4,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.60 : 8,217.76 = 3,302.25 : x
  2. Step 2: Convert to fraction form
    5,954.60/8,217.76 = 3,302.25/x
  3. Step 3: Cross multiply
    5,954.60x = 8,217.76 × 3,302.25
  4. Step 4: Simplify right side
    5,954.60x = 27,137,132.90
  5. Step 5: Solve for x
    x = 27,137,132.90/5,954.60
  6. Step 6: Final answer
    x = 4,557.34

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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.