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Finding the Fourth Proportional to 4,197.05, 5,792.15 and 2,429.22

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Solution

The fourth proportional to 4,197.05, 5,792.15 and 2,429.22 is: 3,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.05 : 5,792.15 = 2,429.22 : x
  2. Step 2: Convert to fraction form
    4,197.05/5,792.15 = 2,429.22/x
  3. Step 3: Cross multiply
    4,197.05x = 5,792.15 × 2,429.22
  4. Step 4: Simplify right side
    4,197.05x = 14,070,412.70
  5. Step 5: Solve for x
    x = 14,070,412.70/4,197.05
  6. Step 6: Final answer
    x = 3,352.46

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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.