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Finding the Fourth Proportional to 3,258.16, 4,880.76 and 2,847.76

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Solution

The fourth proportional to 3,258.16, 4,880.76 and 2,847.76 is: 4,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.16 : 4,880.76 = 2,847.76 : x
  2. Step 2: Convert to fraction form
    3,258.16/4,880.76 = 2,847.76/x
  3. Step 3: Cross multiply
    3,258.16x = 4,880.76 × 2,847.76
  4. Step 4: Simplify right side
    3,258.16x = 13,899,233.10
  5. Step 5: Solve for x
    x = 13,899,233.10/3,258.16
  6. Step 6: Final answer
    x = 4,265.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.