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Finding the Fourth Proportional to 3,644.69, 5,465.88 and 1,178.93

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Solution

The fourth proportional to 3,644.69, 5,465.88 and 1,178.93 is: 1,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.69 : 5,465.88 = 1,178.93 : x
  2. Step 2: Convert to fraction form
    3,644.69/5,465.88 = 1,178.93/x
  3. Step 3: Cross multiply
    3,644.69x = 5,465.88 × 1,178.93
  4. Step 4: Simplify right side
    3,644.69x = 6,443,884.47
  5. Step 5: Solve for x
    x = 6,443,884.47/3,644.69
  6. Step 6: Final answer
    x = 1,768.02

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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.