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Finding the Fourth Proportional to 3,736.86, 5,603.64 and 1,395.96

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Solution

The fourth proportional to 3,736.86, 5,603.64 and 1,395.96 is: 2,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.86 : 5,603.64 = 1,395.96 : x
  2. Step 2: Convert to fraction form
    3,736.86/5,603.64 = 1,395.96/x
  3. Step 3: Cross multiply
    3,736.86x = 5,603.64 × 1,395.96
  4. Step 4: Simplify right side
    3,736.86x = 7,822,457.29
  5. Step 5: Solve for x
    x = 7,822,457.29/3,736.86
  6. Step 6: Final answer
    x = 2,093.32

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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.