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Finding the Fourth Proportional to 5,737.86, 8,605.05 and 2,039.60

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Solution

The fourth proportional to 5,737.86, 8,605.05 and 2,039.60 is: 3,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.86 : 8,605.05 = 2,039.60 : x
  2. Step 2: Convert to fraction form
    5,737.86/8,605.05 = 2,039.60/x
  3. Step 3: Cross multiply
    5,737.86x = 8,605.05 × 2,039.60
  4. Step 4: Simplify right side
    5,737.86x = 17,550,816.95
  5. Step 5: Solve for x
    x = 17,550,816.95/5,737.86
  6. Step 6: Final answer
    x = 3,058.77

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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.