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Finding the Fourth Proportional to 4,838.28, 7,258.62 and 1,375.50

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Solution

The fourth proportional to 4,838.28, 7,258.62 and 1,375.50 is: 2,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.28 : 7,258.62 = 1,375.50 : x
  2. Step 2: Convert to fraction form
    4,838.28/7,258.62 = 1,375.50/x
  3. Step 3: Cross multiply
    4,838.28x = 7,258.62 × 1,375.50
  4. Step 4: Simplify right side
    4,838.28x = 9,984,231.81
  5. Step 5: Solve for x
    x = 9,984,231.81/4,838.28
  6. Step 6: Final answer
    x = 2,063.59

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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.