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Finding the Fourth Proportional to 3,599.59, 5,395.69 and 1,377.90

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Solution

The fourth proportional to 3,599.59, 5,395.69 and 1,377.90 is: 2,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.59 : 5,395.69 = 1,377.90 : x
  2. Step 2: Convert to fraction form
    3,599.59/5,395.69 = 1,377.90/x
  3. Step 3: Cross multiply
    3,599.59x = 5,395.69 × 1,377.90
  4. Step 4: Simplify right side
    3,599.59x = 7,434,724.22
  5. Step 5: Solve for x
    x = 7,434,724.22/3,599.59
  6. Step 6: Final answer
    x = 2,065.43

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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.