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Finding the Fourth Proportional to 2,853.36, 3,935.16 and 1,858.28

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Solution

The fourth proportional to 2,853.36, 3,935.16 and 1,858.28 is: 2,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.36 : 3,935.16 = 1,858.28 : x
  2. Step 2: Convert to fraction form
    2,853.36/3,935.16 = 1,858.28/x
  3. Step 3: Cross multiply
    2,853.36x = 3,935.16 × 1,858.28
  4. Step 4: Simplify right side
    2,853.36x = 7,312,609.45
  5. Step 5: Solve for x
    x = 7,312,609.45/2,853.36
  6. Step 6: Final answer
    x = 2,562.81

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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.