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Finding the Fourth Proportional to 3,937.55, 5,433.78 and 2,258.89

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Solution

The fourth proportional to 3,937.55, 5,433.78 and 2,258.89 is: 3,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.55 : 5,433.78 = 2,258.89 : x
  2. Step 2: Convert to fraction form
    3,937.55/5,433.78 = 2,258.89/x
  3. Step 3: Cross multiply
    3,937.55x = 5,433.78 × 2,258.89
  4. Step 4: Simplify right side
    3,937.55x = 12,274,306.19
  5. Step 5: Solve for x
    x = 12,274,306.19/3,937.55
  6. Step 6: Final answer
    x = 3,117.25

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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.