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Finding the Fourth Proportional to 4,258.49, 5,877.99 and 2,766.51

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Solution

The fourth proportional to 4,258.49, 5,877.99 and 2,766.51 is: 3,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.49 : 5,877.99 = 2,766.51 : x
  2. Step 2: Convert to fraction form
    4,258.49/5,877.99 = 2,766.51/x
  3. Step 3: Cross multiply
    4,258.49x = 5,877.99 × 2,766.51
  4. Step 4: Simplify right side
    4,258.49x = 16,261,518.11
  5. Step 5: Solve for x
    x = 16,261,518.11/4,258.49
  6. Step 6: Final answer
    x = 3,818.62

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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.