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Finding the Fourth Proportional to 3,688.75, 5,528.22 and 2,046.07

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Solution

The fourth proportional to 3,688.75, 5,528.22 and 2,046.07 is: 3,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.75 : 5,528.22 = 2,046.07 : x
  2. Step 2: Convert to fraction form
    3,688.75/5,528.22 = 2,046.07/x
  3. Step 3: Cross multiply
    3,688.75x = 5,528.22 × 2,046.07
  4. Step 4: Simplify right side
    3,688.75x = 11,311,125.10
  5. Step 5: Solve for x
    x = 11,311,125.10/3,688.75
  6. Step 6: Final answer
    x = 3,066.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.