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Finding the Fourth Proportional to 3,651.76, 5,477.62 and 1,343.28

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Solution

The fourth proportional to 3,651.76, 5,477.62 and 1,343.28 is: 2,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.76 : 5,477.62 = 1,343.28 : x
  2. Step 2: Convert to fraction form
    3,651.76/5,477.62 = 1,343.28/x
  3. Step 3: Cross multiply
    3,651.76x = 5,477.62 × 1,343.28
  4. Step 4: Simplify right side
    3,651.76x = 7,357,977.39
  5. Step 5: Solve for x
    x = 7,357,977.39/3,651.76
  6. Step 6: Final answer
    x = 2,014.91

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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.