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Finding the Fourth Proportional to 4,129.80, 5,699.52 and 2,361.06

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Solution

The fourth proportional to 4,129.80, 5,699.52 and 2,361.06 is: 3,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.80 : 5,699.52 = 2,361.06 : x
  2. Step 2: Convert to fraction form
    4,129.80/5,699.52 = 2,361.06/x
  3. Step 3: Cross multiply
    4,129.80x = 5,699.52 × 2,361.06
  4. Step 4: Simplify right side
    4,129.80x = 13,456,896.89
  5. Step 5: Solve for x
    x = 13,456,896.89/4,129.80
  6. Step 6: Final answer
    x = 3,258.49

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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.