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Finding the Fourth Proportional to 5,136.86, 7,703.93 and 1,849.34

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Solution

The fourth proportional to 5,136.86, 7,703.93 and 1,849.34 is: 2,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.86 : 7,703.93 = 1,849.34 : x
  2. Step 2: Convert to fraction form
    5,136.86/7,703.93 = 1,849.34/x
  3. Step 3: Cross multiply
    5,136.86x = 7,703.93 × 1,849.34
  4. Step 4: Simplify right side
    5,136.86x = 14,247,152.01
  5. Step 5: Solve for x
    x = 14,247,152.01/5,136.86
  6. Step 6: Final answer
    x = 2,773.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.