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Finding the Fourth Proportional to 3,658.50, 5,048.73 and 2,086.63

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Solution

The fourth proportional to 3,658.50, 5,048.73 and 2,086.63 is: 2,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.50 : 5,048.73 = 2,086.63 : x
  2. Step 2: Convert to fraction form
    3,658.50/5,048.73 = 2,086.63/x
  3. Step 3: Cross multiply
    3,658.50x = 5,048.73 × 2,086.63
  4. Step 4: Simplify right side
    3,658.50x = 10,534,818.86
  5. Step 5: Solve for x
    x = 10,534,818.86/3,658.50
  6. Step 6: Final answer
    x = 2,879.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.