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Finding the Fourth Proportional to 3,628.88, 5,007.85 and 2,057.07

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Solution

The fourth proportional to 3,628.88, 5,007.85 and 2,057.07 is: 2,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.88 : 5,007.85 = 2,057.07 : x
  2. Step 2: Convert to fraction form
    3,628.88/5,007.85 = 2,057.07/x
  3. Step 3: Cross multiply
    3,628.88x = 5,007.85 × 2,057.07
  4. Step 4: Simplify right side
    3,628.88x = 10,301,492.86
  5. Step 5: Solve for x
    x = 10,301,492.86/3,628.88
  6. Step 6: Final answer
    x = 2,838.76

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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.