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Finding the Fourth Proportional to 3,810.76, 5,258.46 and 2,238.28

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Solution

The fourth proportional to 3,810.76, 5,258.46 and 2,238.28 is: 3,088.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.76 : 5,258.46 = 2,238.28 : x
  2. Step 2: Convert to fraction form
    3,810.76/5,258.46 = 2,238.28/x
  3. Step 3: Cross multiply
    3,810.76x = 5,258.46 × 2,238.28
  4. Step 4: Simplify right side
    3,810.76x = 11,769,905.85
  5. Step 5: Solve for x
    x = 11,769,905.85/3,810.76
  6. Step 6: Final answer
    x = 3,088.60

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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.