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Finding the Fourth Proportional to 4,863.24, 6,704.64 and 3,537

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Solution

The fourth proportional to 4,863.24, 6,704.64 and 3,537 is: 4,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.24 : 6,704.64 = 3,537 : x
  2. Step 2: Convert to fraction form
    4,863.24/6,704.64 = 3,537/x
  3. Step 3: Cross multiply
    4,863.24x = 6,704.64 × 3,537
  4. Step 4: Simplify right side
    4,863.24x = 23,714,311.68
  5. Step 5: Solve for x
    x = 23,714,311.68/4,863.24
  6. Step 6: Final answer
    x = 4,876.24

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