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Finding the Fourth Proportional to 3,545.64, 5,318.34 and 1,464.09

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Solution

The fourth proportional to 3,545.64, 5,318.34 and 1,464.09 is: 2,196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.64 : 5,318.34 = 1,464.09 : x
  2. Step 2: Convert to fraction form
    3,545.64/5,318.34 = 1,464.09/x
  3. Step 3: Cross multiply
    3,545.64x = 5,318.34 × 1,464.09
  4. Step 4: Simplify right side
    3,545.64x = 7,786,528.41
  5. Step 5: Solve for x
    x = 7,786,528.41/3,545.64
  6. Step 6: Final answer
    x = 2,196.09

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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.