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Finding the Fourth Proportional to 4,491.29, 6,736.91 and 1,159.53

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Solution

The fourth proportional to 4,491.29, 6,736.91 and 1,159.53 is: 1,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.29 : 6,736.91 = 1,159.53 : x
  2. Step 2: Convert to fraction form
    4,491.29/6,736.91 = 1,159.53/x
  3. Step 3: Cross multiply
    4,491.29x = 6,736.91 × 1,159.53
  4. Step 4: Simplify right side
    4,491.29x = 7,811,643.45
  5. Step 5: Solve for x
    x = 7,811,643.45/4,491.29
  6. Step 6: Final answer
    x = 1,739.29

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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.