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Finding the Fourth Proportional to 3,704.40, 5,545.26 and 3,464.64

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Solution

The fourth proportional to 3,704.40, 5,545.26 and 3,464.64 is: 5,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.40 : 5,545.26 = 3,464.64 : x
  2. Step 2: Convert to fraction form
    3,704.40/5,545.26 = 3,464.64/x
  3. Step 3: Cross multiply
    3,704.40x = 5,545.26 × 3,464.64
  4. Step 4: Simplify right side
    3,704.40x = 19,212,329.61
  5. Step 5: Solve for x
    x = 19,212,329.61/3,704.40
  6. Step 6: Final answer
    x = 5,186.35

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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.