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Finding the Fourth Proportional to 3,599.12, 5,410.22 and 3,342.32

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Solution

The fourth proportional to 3,599.12, 5,410.22 and 3,342.32 is: 5,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.12 : 5,410.22 = 3,342.32 : x
  2. Step 2: Convert to fraction form
    3,599.12/5,410.22 = 3,342.32/x
  3. Step 3: Cross multiply
    3,599.12x = 5,410.22 × 3,342.32
  4. Step 4: Simplify right side
    3,599.12x = 18,082,686.51
  5. Step 5: Solve for x
    x = 18,082,686.51/3,599.12
  6. Step 6: Final answer
    x = 5,024.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.