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Finding the Fourth Proportional to 4,129.87, 5,699.32 and 2,361.64

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Solution

The fourth proportional to 4,129.87, 5,699.32 and 2,361.64 is: 3,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.87 : 5,699.32 = 2,361.64 : x
  2. Step 2: Convert to fraction form
    4,129.87/5,699.32 = 2,361.64/x
  3. Step 3: Cross multiply
    4,129.87x = 5,699.32 × 2,361.64
  4. Step 4: Simplify right side
    4,129.87x = 13,459,742.08
  5. Step 5: Solve for x
    x = 13,459,742.08/4,129.87
  6. Step 6: Final answer
    x = 3,259.12

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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.