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Finding the Fourth Proportional to 5,302.16, 7,954.50 and 5,214.02

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Solution

The fourth proportional to 5,302.16, 7,954.50 and 5,214.02 is: 7,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.16 : 7,954.50 = 5,214.02 : x
  2. Step 2: Convert to fraction form
    5,302.16/7,954.50 = 5,214.02/x
  3. Step 3: Cross multiply
    5,302.16x = 7,954.50 × 5,214.02
  4. Step 4: Simplify right side
    5,302.16x = 41,474,922.09
  5. Step 5: Solve for x
    x = 41,474,922.09/5,302.16
  6. Step 6: Final answer
    x = 7,822.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.