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Finding the Fourth Proportional to 3,834.51, 5,752.37 and 1,495.64

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Solution

The fourth proportional to 3,834.51, 5,752.37 and 1,495.64 is: 2,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.51 : 5,752.37 = 1,495.64 : x
  2. Step 2: Convert to fraction form
    3,834.51/5,752.37 = 1,495.64/x
  3. Step 3: Cross multiply
    3,834.51x = 5,752.37 × 1,495.64
  4. Step 4: Simplify right side
    3,834.51x = 8,603,438.43
  5. Step 5: Solve for x
    x = 8,603,438.43/3,834.51
  6. Step 6: Final answer
    x = 2,243.69

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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.