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Finding the Fourth Proportional to 3,921.84, 5,883.66 and 1,613.34

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Solution

The fourth proportional to 3,921.84, 5,883.66 and 1,613.34 is: 2,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.84 : 5,883.66 = 1,613.34 : x
  2. Step 2: Convert to fraction form
    3,921.84/5,883.66 = 1,613.34/x
  3. Step 3: Cross multiply
    3,921.84x = 5,883.66 × 1,613.34
  4. Step 4: Simplify right side
    3,921.84x = 9,492,344.02
  5. Step 5: Solve for x
    x = 9,492,344.02/3,921.84
  6. Step 6: Final answer
    x = 2,420.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.