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Finding the Fourth Proportional to 3,694.84, 5,099.51 and 3,528.76

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Solution

The fourth proportional to 3,694.84, 5,099.51 and 3,528.76 is: 4,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.84 : 5,099.51 = 3,528.76 : x
  2. Step 2: Convert to fraction form
    3,694.84/5,099.51 = 3,528.76/x
  3. Step 3: Cross multiply
    3,694.84x = 5,099.51 × 3,528.76
  4. Step 4: Simplify right side
    3,694.84x = 17,994,955.73
  5. Step 5: Solve for x
    x = 17,994,955.73/3,694.84
  6. Step 6: Final answer
    x = 4,870.29

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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.