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Finding the Fourth Proportional to 2,838.10, 3,864.06 and 2,829.32

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Solution

The fourth proportional to 2,838.10, 3,864.06 and 2,829.32 is: 3,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.10 : 3,864.06 = 2,829.32 : x
  2. Step 2: Convert to fraction form
    2,838.10/3,864.06 = 2,829.32/x
  3. Step 3: Cross multiply
    2,838.10x = 3,864.06 × 2,829.32
  4. Step 4: Simplify right side
    2,838.10x = 10,932,662.24
  5. Step 5: Solve for x
    x = 10,932,662.24/2,838.10
  6. Step 6: Final answer
    x = 3,852.11

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.