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Finding the Fourth Proportional to 3,733.74, 5,597.37 and 2,191.50

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Solution

The fourth proportional to 3,733.74, 5,597.37 and 2,191.50 is: 3,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.74 : 5,597.37 = 2,191.50 : x
  2. Step 2: Convert to fraction form
    3,733.74/5,597.37 = 2,191.50/x
  3. Step 3: Cross multiply
    3,733.74x = 5,597.37 × 2,191.50
  4. Step 4: Simplify right side
    3,733.74x = 12,266,636.36
  5. Step 5: Solve for x
    x = 12,266,636.36/3,733.74
  6. Step 6: Final answer
    x = 3,285.35

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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.