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Finding the Fourth Proportional to 3,661.05, 5,494.64 and 1,582.64

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Solution

The fourth proportional to 3,661.05, 5,494.64 and 1,582.64 is: 2,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.05 : 5,494.64 = 1,582.64 : x
  2. Step 2: Convert to fraction form
    3,661.05/5,494.64 = 1,582.64/x
  3. Step 3: Cross multiply
    3,661.05x = 5,494.64 × 1,582.64
  4. Step 4: Simplify right side
    3,661.05x = 8,696,013.53
  5. Step 5: Solve for x
    x = 8,696,013.53/3,661.05
  6. Step 6: Final answer
    x = 2,375.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.