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Finding the Fourth Proportional to 4,626.70, 6,937.52 and 3,167.50

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Solution

The fourth proportional to 4,626.70, 6,937.52 and 3,167.50 is: 4,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.70 : 6,937.52 = 3,167.50 : x
  2. Step 2: Convert to fraction form
    4,626.70/6,937.52 = 3,167.50/x
  3. Step 3: Cross multiply
    4,626.70x = 6,937.52 × 3,167.50
  4. Step 4: Simplify right side
    4,626.70x = 21,974,594.60
  5. Step 5: Solve for x
    x = 21,974,594.60/4,626.70
  6. Step 6: Final answer
    x = 4,749.52

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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.