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Finding the Fourth Proportional to 4,838.72, 7,258.08 and 3,863.52

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Solution

The fourth proportional to 4,838.72, 7,258.08 and 3,863.52 is: 5,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.72 : 7,258.08 = 3,863.52 : x
  2. Step 2: Convert to fraction form
    4,838.72/7,258.08 = 3,863.52/x
  3. Step 3: Cross multiply
    4,838.72x = 7,258.08 × 3,863.52
  4. Step 4: Simplify right side
    4,838.72x = 28,041,737.24
  5. Step 5: Solve for x
    x = 28,041,737.24/4,838.72
  6. Step 6: Final answer
    x = 5,795.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.