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Finding the Fourth Proportional to 4,491.30, 6,742.68 and 3,019.98

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Solution

The fourth proportional to 4,491.30, 6,742.68 and 3,019.98 is: 4,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.30 : 6,742.68 = 3,019.98 : x
  2. Step 2: Convert to fraction form
    4,491.30/6,742.68 = 3,019.98/x
  3. Step 3: Cross multiply
    4,491.30x = 6,742.68 × 3,019.98
  4. Step 4: Simplify right side
    4,491.30x = 20,362,758.75
  5. Step 5: Solve for x
    x = 20,362,758.75/4,491.30
  6. Step 6: Final answer
    x = 4,533.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.