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Finding the Fourth Proportional to 4,838.26, 7,258.20 and 4,348.48

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Solution

The fourth proportional to 4,838.26, 7,258.20 and 4,348.48 is: 6,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.26 : 7,258.20 = 4,348.48 : x
  2. Step 2: Convert to fraction form
    4,838.26/7,258.20 = 4,348.48/x
  3. Step 3: Cross multiply
    4,838.26x = 7,258.20 × 4,348.48
  4. Step 4: Simplify right side
    4,838.26x = 31,562,137.54
  5. Step 5: Solve for x
    x = 31,562,137.54/4,838.26
  6. Step 6: Final answer
    x = 6,523.45

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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.