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Finding the Fourth Proportional to 4,834.92, 7,258.50 and 4,023.12

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Solution

The fourth proportional to 4,834.92, 7,258.50 and 4,023.12 is: 6,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.92 : 7,258.50 = 4,023.12 : x
  2. Step 2: Convert to fraction form
    4,834.92/7,258.50 = 4,023.12/x
  3. Step 3: Cross multiply
    4,834.92x = 7,258.50 × 4,023.12
  4. Step 4: Simplify right side
    4,834.92x = 29,201,816.52
  5. Step 5: Solve for x
    x = 29,201,816.52/4,834.92
  6. Step 6: Final answer
    x = 6,039.77

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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.