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Finding the Fourth Proportional to 5,424.16, 7,477.68 and 3,851.68

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Solution

The fourth proportional to 5,424.16, 7,477.68 and 3,851.68 is: 5,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.16 : 7,477.68 = 3,851.68 : x
  2. Step 2: Convert to fraction form
    5,424.16/7,477.68 = 3,851.68/x
  3. Step 3: Cross multiply
    5,424.16x = 7,477.68 × 3,851.68
  4. Step 4: Simplify right side
    5,424.16x = 28,801,630.50
  5. Step 5: Solve for x
    x = 28,801,630.50/5,424.16
  6. Step 6: Final answer
    x = 5,309.88

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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.