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Finding the Fourth Proportional to 3,733.95, 5,601 and 1,234.32

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Solution

The fourth proportional to 3,733.95, 5,601 and 1,234.32 is: 1,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.95 : 5,601 = 1,234.32 : x
  2. Step 2: Convert to fraction form
    3,733.95/5,601 = 1,234.32/x
  3. Step 3: Cross multiply
    3,733.95x = 5,601 × 1,234.32
  4. Step 4: Simplify right side
    3,733.95x = 6,913,426.32
  5. Step 5: Solve for x
    x = 6,913,426.32/3,733.95
  6. Step 6: Final answer
    x = 1,851.50

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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.