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Finding the Fourth Proportional to 5,894.38, 8,842.54 and 2,734.99

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Solution

The fourth proportional to 5,894.38, 8,842.54 and 2,734.99 is: 4,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.38 : 8,842.54 = 2,734.99 : x
  2. Step 2: Convert to fraction form
    5,894.38/8,842.54 = 2,734.99/x
  3. Step 3: Cross multiply
    5,894.38x = 8,842.54 × 2,734.99
  4. Step 4: Simplify right side
    5,894.38x = 24,184,258.47
  5. Step 5: Solve for x
    x = 24,184,258.47/5,894.38
  6. Step 6: Final answer
    x = 4,102.94

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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.