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Finding the Fourth Proportional to 3,492.97, 4,820.54 and 1,921.17

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Solution

The fourth proportional to 3,492.97, 4,820.54 and 1,921.17 is: 2,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.97 : 4,820.54 = 1,921.17 : x
  2. Step 2: Convert to fraction form
    3,492.97/4,820.54 = 1,921.17/x
  3. Step 3: Cross multiply
    3,492.97x = 4,820.54 × 1,921.17
  4. Step 4: Simplify right side
    3,492.97x = 9,261,063.59
  5. Step 5: Solve for x
    x = 9,261,063.59/3,492.97
  6. Step 6: Final answer
    x = 2,651.34

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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.