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Finding the Fourth Proportional to 5,904.54, 8,139.42 and 3,911.61

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Solution

The fourth proportional to 5,904.54, 8,139.42 and 3,911.61 is: 5,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.54 : 8,139.42 = 3,911.61 : x
  2. Step 2: Convert to fraction form
    5,904.54/8,139.42 = 3,911.61/x
  3. Step 3: Cross multiply
    5,904.54x = 8,139.42 × 3,911.61
  4. Step 4: Simplify right side
    5,904.54x = 31,838,236.67
  5. Step 5: Solve for x
    x = 31,838,236.67/5,904.54
  6. Step 6: Final answer
    x = 5,392.16

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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.