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Finding the Fourth Proportional to 3,492.75, 4,820.13 and 1,920.81

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Solution

The fourth proportional to 3,492.75, 4,820.13 and 1,920.81 is: 2,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.75 : 4,820.13 = 1,920.81 : x
  2. Step 2: Convert to fraction form
    3,492.75/4,820.13 = 1,920.81/x
  3. Step 3: Cross multiply
    3,492.75x = 4,820.13 × 1,920.81
  4. Step 4: Simplify right side
    3,492.75x = 9,258,553.91
  5. Step 5: Solve for x
    x = 9,258,553.91/3,492.75
  6. Step 6: Final answer
    x = 2,650.79

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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.