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Finding the Fourth Proportional to 3,729.85, 5,596.29 and 1,881.50

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Solution

The fourth proportional to 3,729.85, 5,596.29 and 1,881.50 is: 2,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.85 : 5,596.29 = 1,881.50 : x
  2. Step 2: Convert to fraction form
    3,729.85/5,596.29 = 1,881.50/x
  3. Step 3: Cross multiply
    3,729.85x = 5,596.29 × 1,881.50
  4. Step 4: Simplify right side
    3,729.85x = 10,529,419.64
  5. Step 5: Solve for x
    x = 10,529,419.64/3,729.85
  6. Step 6: Final answer
    x = 2,823.01

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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.