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Finding the Fourth Proportional to 4,258.22, 5,876.22 and 2,369.71

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Solution

The fourth proportional to 4,258.22, 5,876.22 and 2,369.71 is: 3,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.22 : 5,876.22 = 2,369.71 : x
  2. Step 2: Convert to fraction form
    4,258.22/5,876.22 = 2,369.71/x
  3. Step 3: Cross multiply
    4,258.22x = 5,876.22 × 2,369.71
  4. Step 4: Simplify right side
    4,258.22x = 13,924,937.30
  5. Step 5: Solve for x
    x = 13,924,937.30/4,258.22
  6. Step 6: Final answer
    x = 3,270.13

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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.