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Finding the Fourth Proportional to 3,381.54, 4,661.24 and 3,110.00

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Solution

The fourth proportional to 3,381.54, 4,661.24 and 3,110.00 is: 4,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.54 : 4,661.24 = 3,110.00 : x
  2. Step 2: Convert to fraction form
    3,381.54/4,661.24 = 3,110.00/x
  3. Step 3: Cross multiply
    3,381.54x = 4,661.24 × 3,110.00
  4. Step 4: Simplify right side
    3,381.54x = 14,496,417.54
  5. Step 5: Solve for x
    x = 14,496,417.54/3,381.54
  6. Step 6: Final answer
    x = 4,286.93

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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.