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Finding the Fourth Proportional to 3,235.02, 4,464.57 and 1,838.02

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Solution

The fourth proportional to 3,235.02, 4,464.57 and 1,838.02 is: 2,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.02 : 4,464.57 = 1,838.02 : x
  2. Step 2: Convert to fraction form
    3,235.02/4,464.57 = 1,838.02/x
  3. Step 3: Cross multiply
    3,235.02x = 4,464.57 × 1,838.02
  4. Step 4: Simplify right side
    3,235.02x = 8,205,968.95
  5. Step 5: Solve for x
    x = 8,205,968.95/3,235.02
  6. Step 6: Final answer
    x = 2,536.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.