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Finding the Fourth Proportional to 5,971.83, 8,957.94 and 2,684.93

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Solution

The fourth proportional to 5,971.83, 8,957.94 and 2,684.93 is: 4,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.83 : 8,957.94 = 2,684.93 : x
  2. Step 2: Convert to fraction form
    5,971.83/8,957.94 = 2,684.93/x
  3. Step 3: Cross multiply
    5,971.83x = 8,957.94 × 2,684.93
  4. Step 4: Simplify right side
    5,971.83x = 24,051,441.84
  5. Step 5: Solve for x
    x = 24,051,441.84/5,971.83
  6. Step 6: Final answer
    x = 4,027.49

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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.