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Finding the Fourth Proportional to 5,902.86, 8,144.71 and 3,384.77

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Solution

The fourth proportional to 5,902.86, 8,144.71 and 3,384.77 is: 4,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.86 : 8,144.71 = 3,384.77 : x
  2. Step 2: Convert to fraction form
    5,902.86/8,144.71 = 3,384.77/x
  3. Step 3: Cross multiply
    5,902.86x = 8,144.71 × 3,384.77
  4. Step 4: Simplify right side
    5,902.86x = 27,567,970.07
  5. Step 5: Solve for x
    x = 27,567,970.07/5,902.86
  6. Step 6: Final answer
    x = 4,670.27

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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.