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Finding the Fourth Proportional to 5,491.14, 7,577.64 and 3,068.53

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Solution

The fourth proportional to 5,491.14, 7,577.64 and 3,068.53 is: 4,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.14 : 7,577.64 = 3,068.53 : x
  2. Step 2: Convert to fraction form
    5,491.14/7,577.64 = 3,068.53/x
  3. Step 3: Cross multiply
    5,491.14x = 7,577.64 × 3,068.53
  4. Step 4: Simplify right side
    5,491.14x = 23,252,215.67
  5. Step 5: Solve for x
    x = 23,252,215.67/5,491.14
  6. Step 6: Final answer
    x = 4,234.50

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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.