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Finding the Fourth Proportional to 3,812.84, 5,258.22 and 2,486.06

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Solution

The fourth proportional to 3,812.84, 5,258.22 and 2,486.06 is: 3,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.84 : 5,258.22 = 2,486.06 : x
  2. Step 2: Convert to fraction form
    3,812.84/5,258.22 = 2,486.06/x
  3. Step 3: Cross multiply
    3,812.84x = 5,258.22 × 2,486.06
  4. Step 4: Simplify right side
    3,812.84x = 13,072,250.41
  5. Step 5: Solve for x
    x = 13,072,250.41/3,812.84
  6. Step 6: Final answer
    x = 3,428.48

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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.