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Finding the Fourth Proportional to 4,627.92, 6,937.56 and 1,704.24

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Solution

The fourth proportional to 4,627.92, 6,937.56 and 1,704.24 is: 2,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.92 : 6,937.56 = 1,704.24 : x
  2. Step 2: Convert to fraction form
    4,627.92/6,937.56 = 1,704.24/x
  3. Step 3: Cross multiply
    4,627.92x = 6,937.56 × 1,704.24
  4. Step 4: Simplify right side
    4,627.92x = 11,823,267.25
  5. Step 5: Solve for x
    x = 11,823,267.25/4,627.92
  6. Step 6: Final answer
    x = 2,554.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.