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Finding the Fourth Proportional to 3,842.78, 5,303.27 and 2,164.26

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Solution

The fourth proportional to 3,842.78, 5,303.27 and 2,164.26 is: 2,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.78 : 5,303.27 = 2,164.26 : x
  2. Step 2: Convert to fraction form
    3,842.78/5,303.27 = 2,164.26/x
  3. Step 3: Cross multiply
    3,842.78x = 5,303.27 × 2,164.26
  4. Step 4: Simplify right side
    3,842.78x = 11,477,655.13
  5. Step 5: Solve for x
    x = 11,477,655.13/3,842.78
  6. Step 6: Final answer
    x = 2,986.81

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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.