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Finding the Fourth Proportional to 5,049.34, 6,973.94 and 3,368

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Solution

The fourth proportional to 5,049.34, 6,973.94 and 3,368 is: 4,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.34 : 6,973.94 = 3,368 : x
  2. Step 2: Convert to fraction form
    5,049.34/6,973.94 = 3,368/x
  3. Step 3: Cross multiply
    5,049.34x = 6,973.94 × 3,368
  4. Step 4: Simplify right side
    5,049.34x = 23,488,229.92
  5. Step 5: Solve for x
    x = 23,488,229.92/5,049.34
  6. Step 6: Final answer
    x = 4,651.74

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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.