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Finding the Fourth Proportional to 3,562.74, 5,342.04 and 1,369.62

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Solution

The fourth proportional to 3,562.74, 5,342.04 and 1,369.62 is: 2,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.74 : 5,342.04 = 1,369.62 : x
  2. Step 2: Convert to fraction form
    3,562.74/5,342.04 = 1,369.62/x
  3. Step 3: Cross multiply
    3,562.74x = 5,342.04 × 1,369.62
  4. Step 4: Simplify right side
    3,562.74x = 7,316,564.82
  5. Step 5: Solve for x
    x = 7,316,564.82/3,562.74
  6. Step 6: Final answer
    x = 2,053.63

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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.