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Finding the Fourth Proportional to 4,197.55, 5,792.85 and 2,429.72

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Solution

The fourth proportional to 4,197.55, 5,792.85 and 2,429.72 is: 3,353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.55 : 5,792.85 = 2,429.72 : x
  2. Step 2: Convert to fraction form
    4,197.55/5,792.85 = 2,429.72/x
  3. Step 3: Cross multiply
    4,197.55x = 5,792.85 × 2,429.72
  4. Step 4: Simplify right side
    4,197.55x = 14,074,991.35
  5. Step 5: Solve for x
    x = 14,074,991.35/4,197.55
  6. Step 6: Final answer
    x = 3,353.15

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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.