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Finding the Fourth Proportional to 3,980.14, 5,492.21 and 2,301.21

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Solution

The fourth proportional to 3,980.14, 5,492.21 and 2,301.21 is: 3,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.14 : 5,492.21 = 2,301.21 : x
  2. Step 2: Convert to fraction form
    3,980.14/5,492.21 = 2,301.21/x
  3. Step 3: Cross multiply
    3,980.14x = 5,492.21 × 2,301.21
  4. Step 4: Simplify right side
    3,980.14x = 12,638,717.07
  5. Step 5: Solve for x
    x = 12,638,717.07/3,980.14
  6. Step 6: Final answer
    x = 3,175.45

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