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Finding the Fourth Proportional to 4,089.70, 6,136.38 and 1,492.03

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Solution

The fourth proportional to 4,089.70, 6,136.38 and 1,492.03 is: 2,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.70 : 6,136.38 = 1,492.03 : x
  2. Step 2: Convert to fraction form
    4,089.70/6,136.38 = 1,492.03/x
  3. Step 3: Cross multiply
    4,089.70x = 6,136.38 × 1,492.03
  4. Step 4: Simplify right side
    4,089.70x = 9,155,670.72
  5. Step 5: Solve for x
    x = 9,155,670.72/4,089.70
  6. Step 6: Final answer
    x = 2,238.71

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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.