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Finding the Fourth Proportional to 4,302.68, 6,453.23 and 1,491.53

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Solution

The fourth proportional to 4,302.68, 6,453.23 and 1,491.53 is: 2,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.68 : 6,453.23 = 1,491.53 : x
  2. Step 2: Convert to fraction form
    4,302.68/6,453.23 = 1,491.53/x
  3. Step 3: Cross multiply
    4,302.68x = 6,453.23 × 1,491.53
  4. Step 4: Simplify right side
    4,302.68x = 9,625,146.42
  5. Step 5: Solve for x
    x = 9,625,146.42/4,302.68
  6. Step 6: Final answer
    x = 2,237.01

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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.