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Finding the Fourth Proportional to 4,838.60, 7,247.10 and 3,974.60

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Solution

The fourth proportional to 4,838.60, 7,247.10 and 3,974.60 is: 5,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.60 : 7,247.10 = 3,974.60 : x
  2. Step 2: Convert to fraction form
    4,838.60/7,247.10 = 3,974.60/x
  3. Step 3: Cross multiply
    4,838.60x = 7,247.10 × 3,974.60
  4. Step 4: Simplify right side
    4,838.60x = 28,804,323.66
  5. Step 5: Solve for x
    x = 28,804,323.66/4,838.60
  6. Step 6: Final answer
    x = 5,953.03

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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.