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Finding the Fourth Proportional to 3,602.94, 5,406.09 and 3,544.70

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Solution

The fourth proportional to 3,602.94, 5,406.09 and 3,544.70 is: 5,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.94 : 5,406.09 = 3,544.70 : x
  2. Step 2: Convert to fraction form
    3,602.94/5,406.09 = 3,544.70/x
  3. Step 3: Cross multiply
    3,602.94x = 5,406.09 × 3,544.70
  4. Step 4: Simplify right side
    3,602.94x = 19,162,967.22
  5. Step 5: Solve for x
    x = 19,162,967.22/3,602.94
  6. Step 6: Final answer
    x = 5,318.70

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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.