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Finding the Fourth Proportional to 3,599.64, 5,397.39 and 1,405.83

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Solution

The fourth proportional to 3,599.64, 5,397.39 and 1,405.83 is: 2,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.64 : 5,397.39 = 1,405.83 : x
  2. Step 2: Convert to fraction form
    3,599.64/5,397.39 = 1,405.83/x
  3. Step 3: Cross multiply
    3,599.64x = 5,397.39 × 1,405.83
  4. Step 4: Simplify right side
    3,599.64x = 7,587,812.78
  5. Step 5: Solve for x
    x = 7,587,812.78/3,599.64
  6. Step 6: Final answer
    x = 2,107.94

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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.