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Finding the Fourth Proportional to 3,851.84, 5,315.00 and 2,258.43

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Solution

The fourth proportional to 3,851.84, 5,315.00 and 2,258.43 is: 3,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.84 : 5,315.00 = 2,258.43 : x
  2. Step 2: Convert to fraction form
    3,851.84/5,315.00 = 2,258.43/x
  3. Step 3: Cross multiply
    3,851.84x = 5,315.00 × 2,258.43
  4. Step 4: Simplify right side
    3,851.84x = 12,003,544.16
  5. Step 5: Solve for x
    x = 12,003,544.16/3,851.84
  6. Step 6: Final answer
    x = 3,116.32

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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.