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Finding the Fourth Proportional to 5,424.14, 7,484.96 and 3,033.95

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Solution

The fourth proportional to 5,424.14, 7,484.96 and 3,033.95 is: 4,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.14 : 7,484.96 = 3,033.95 : x
  2. Step 2: Convert to fraction form
    5,424.14/7,484.96 = 3,033.95/x
  3. Step 3: Cross multiply
    5,424.14x = 7,484.96 × 3,033.95
  4. Step 4: Simplify right side
    5,424.14x = 22,708,964.55
  5. Step 5: Solve for x
    x = 22,708,964.55/5,424.14
  6. Step 6: Final answer
    x = 4,186.65

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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.