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Finding the Fourth Proportional to 3,644.68, 5,466.04 and 1,178.96

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Solution

The fourth proportional to 3,644.68, 5,466.04 and 1,178.96 is: 1,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.68 : 5,466.04 = 1,178.96 : x
  2. Step 2: Convert to fraction form
    3,644.68/5,466.04 = 1,178.96/x
  3. Step 3: Cross multiply
    3,644.68x = 5,466.04 × 1,178.96
  4. Step 4: Simplify right side
    3,644.68x = 6,444,242.52
  5. Step 5: Solve for x
    x = 6,444,242.52/3,644.68
  6. Step 6: Final answer
    x = 1,768.12

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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.