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Finding the Fourth Proportional to 3,810.57, 5,258.54 and 2,131.98

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Solution

The fourth proportional to 3,810.57, 5,258.54 and 2,131.98 is: 2,942.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.57 : 5,258.54 = 2,131.98 : x
  2. Step 2: Convert to fraction form
    3,810.57/5,258.54 = 2,131.98/x
  3. Step 3: Cross multiply
    3,810.57x = 5,258.54 × 2,131.98
  4. Step 4: Simplify right side
    3,810.57x = 11,211,102.11
  5. Step 5: Solve for x
    x = 11,211,102.11/3,810.57
  6. Step 6: Final answer
    x = 2,942.11

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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.