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Finding the Fourth Proportional to 3,494.57, 4,792.96 and 3,100.91

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Solution

The fourth proportional to 3,494.57, 4,792.96 and 3,100.91 is: 4,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.57 : 4,792.96 = 3,100.91 : x
  2. Step 2: Convert to fraction form
    3,494.57/4,792.96 = 3,100.91/x
  3. Step 3: Cross multiply
    3,494.57x = 4,792.96 × 3,100.91
  4. Step 4: Simplify right side
    3,494.57x = 14,862,537.59
  5. Step 5: Solve for x
    x = 14,862,537.59/3,494.57
  6. Step 6: Final answer
    x = 4,253.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.