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Finding the Fourth Proportional to 5,278.70, 7,298.52 and 4,622.60

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Solution

The fourth proportional to 5,278.70, 7,298.52 and 4,622.60 is: 6,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.70 : 7,298.52 = 4,622.60 : x
  2. Step 2: Convert to fraction form
    5,278.70/7,298.52 = 4,622.60/x
  3. Step 3: Cross multiply
    5,278.70x = 7,298.52 × 4,622.60
  4. Step 4: Simplify right side
    5,278.70x = 33,738,138.55
  5. Step 5: Solve for x
    x = 33,738,138.55/5,278.70
  6. Step 6: Final answer
    x = 6,391.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.