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Finding the Fourth Proportional to 5,297.69, 7,315.46 and 3,311.63

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Solution

The fourth proportional to 5,297.69, 7,315.46 and 3,311.63 is: 4,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.69 : 7,315.46 = 3,311.63 : x
  2. Step 2: Convert to fraction form
    5,297.69/7,315.46 = 3,311.63/x
  3. Step 3: Cross multiply
    5,297.69x = 7,315.46 × 3,311.63
  4. Step 4: Simplify right side
    5,297.69x = 24,226,043.66
  5. Step 5: Solve for x
    x = 24,226,043.66/5,297.69
  6. Step 6: Final answer
    x = 4,572.95

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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.