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Finding the Fourth Proportional to 2,899.49, 4,009.16 and 2,852.60

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Solution

The fourth proportional to 2,899.49, 4,009.16 and 2,852.60 is: 3,944.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.49 : 4,009.16 = 2,852.60 : x
  2. Step 2: Convert to fraction form
    2,899.49/4,009.16 = 2,852.60/x
  3. Step 3: Cross multiply
    2,899.49x = 4,009.16 × 2,852.60
  4. Step 4: Simplify right side
    2,899.49x = 11,436,516.90
  5. Step 5: Solve for x
    x = 11,436,516.90/2,899.49
  6. Step 6: Final answer
    x = 3,944.33

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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.