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Finding the Fourth Proportional to 5,136.95, 7,703.60 and 1,849.16

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Solution

The fourth proportional to 5,136.95, 7,703.60 and 1,849.16 is: 2,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.95 : 7,703.60 = 1,849.16 : x
  2. Step 2: Convert to fraction form
    5,136.95/7,703.60 = 1,849.16/x
  3. Step 3: Cross multiply
    5,136.95x = 7,703.60 × 1,849.16
  4. Step 4: Simplify right side
    5,136.95x = 14,245,141.21
  5. Step 5: Solve for x
    x = 14,245,141.21/5,136.95
  6. Step 6: Final answer
    x = 2,773.08

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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.