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Finding the Fourth Proportional to 3,980.44, 5,492.91 and 3,035.17

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Solution

The fourth proportional to 3,980.44, 5,492.91 and 3,035.17 is: 4,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.44 : 5,492.91 = 3,035.17 : x
  2. Step 2: Convert to fraction form
    3,980.44/5,492.91 = 3,035.17/x
  3. Step 3: Cross multiply
    3,980.44x = 5,492.91 × 3,035.17
  4. Step 4: Simplify right side
    3,980.44x = 16,671,915.64
  5. Step 5: Solve for x
    x = 16,671,915.64/3,980.44
  6. Step 6: Final answer
    x = 4,188.46

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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.