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Finding the Fourth Proportional to 5,297.74, 7,306.82 and 3,880.90

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Solution

The fourth proportional to 5,297.74, 7,306.82 and 3,880.90 is: 5,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.74 : 7,306.82 = 3,880.90 : x
  2. Step 2: Convert to fraction form
    5,297.74/7,306.82 = 3,880.90/x
  3. Step 3: Cross multiply
    5,297.74x = 7,306.82 × 3,880.90
  4. Step 4: Simplify right side
    5,297.74x = 28,357,037.20
  5. Step 5: Solve for x
    x = 28,357,037.20/5,297.74
  6. Step 6: Final answer
    x = 5,352.67

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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.