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Finding the Fourth Proportional to 4,129.58, 5,699.77 and 2,362.16

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Solution

The fourth proportional to 4,129.58, 5,699.77 and 2,362.16 is: 3,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.58 : 5,699.77 = 2,362.16 : x
  2. Step 2: Convert to fraction form
    4,129.58/5,699.77 = 2,362.16/x
  3. Step 3: Cross multiply
    4,129.58x = 5,699.77 × 2,362.16
  4. Step 4: Simplify right side
    4,129.58x = 13,463,777.05
  5. Step 5: Solve for x
    x = 13,463,777.05/4,129.58
  6. Step 6: Final answer
    x = 3,260.32

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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.