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Finding the Fourth Proportional to 5,429.42, 7,491.74 and 3,193.20

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Solution

The fourth proportional to 5,429.42, 7,491.74 and 3,193.20 is: 4,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.42 : 7,491.74 = 3,193.20 : x
  2. Step 2: Convert to fraction form
    5,429.42/7,491.74 = 3,193.20/x
  3. Step 3: Cross multiply
    5,429.42x = 7,491.74 × 3,193.20
  4. Step 4: Simplify right side
    5,429.42x = 23,922,624.17
  5. Step 5: Solve for x
    x = 23,922,624.17/5,429.42
  6. Step 6: Final answer
    x = 4,406.11

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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.