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Finding the Fourth Proportional to 3,644.25, 5,465.22 and 1,178.47

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Solution

The fourth proportional to 3,644.25, 5,465.22 and 1,178.47 is: 1,767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.25 : 5,465.22 = 1,178.47 : x
  2. Step 2: Convert to fraction form
    3,644.25/5,465.22 = 1,178.47/x
  3. Step 3: Cross multiply
    3,644.25x = 5,465.22 × 1,178.47
  4. Step 4: Simplify right side
    3,644.25x = 6,440,597.81
  5. Step 5: Solve for x
    x = 6,440,597.81/3,644.25
  6. Step 6: Final answer
    x = 1,767.33

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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.