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Finding the Fourth Proportional to 5,491.53, 7,580.72 and 4,232.12

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Solution

The fourth proportional to 5,491.53, 7,580.72 and 4,232.12 is: 5,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.53 : 7,580.72 = 4,232.12 : x
  2. Step 2: Convert to fraction form
    5,491.53/7,580.72 = 4,232.12/x
  3. Step 3: Cross multiply
    5,491.53x = 7,580.72 × 4,232.12
  4. Step 4: Simplify right side
    5,491.53x = 32,082,489.40
  5. Step 5: Solve for x
    x = 32,082,489.40/5,491.53
  6. Step 6: Final answer
    x = 5,842.18

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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.