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Finding the Fourth Proportional to 3,904.26, 5,823.08 and 3,838.74

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Solution

The fourth proportional to 3,904.26, 5,823.08 and 3,838.74 is: 5,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.26 : 5,823.08 = 3,838.74 : x
  2. Step 2: Convert to fraction form
    3,904.26/5,823.08 = 3,838.74/x
  3. Step 3: Cross multiply
    3,904.26x = 5,823.08 × 3,838.74
  4. Step 4: Simplify right side
    3,904.26x = 22,353,270.93
  5. Step 5: Solve for x
    x = 22,353,270.93/3,904.26
  6. Step 6: Final answer
    x = 5,725.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.