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Finding the Fourth Proportional to 4,129.66, 5,699.10 and 2,361.26

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Solution

The fourth proportional to 4,129.66, 5,699.10 and 2,361.26 is: 3,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.66 : 5,699.10 = 2,361.26 : x
  2. Step 2: Convert to fraction form
    4,129.66/5,699.10 = 2,361.26/x
  3. Step 3: Cross multiply
    4,129.66x = 5,699.10 × 2,361.26
  4. Step 4: Simplify right side
    4,129.66x = 13,457,050.96
  5. Step 5: Solve for x
    x = 13,457,050.96/4,129.66
  6. Step 6: Final answer
    x = 3,258.64

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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.