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Finding the Fourth Proportional to 3,842.47, 5,303.11 and 2,164.20

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Solution

The fourth proportional to 3,842.47, 5,303.11 and 2,164.20 is: 2,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.47 : 5,303.11 = 2,164.20 : x
  2. Step 2: Convert to fraction form
    3,842.47/5,303.11 = 2,164.20/x
  3. Step 3: Cross multiply
    3,842.47x = 5,303.11 × 2,164.20
  4. Step 4: Simplify right side
    3,842.47x = 11,476,985.25
  5. Step 5: Solve for x
    x = 11,476,985.25/3,842.47
  6. Step 6: Final answer
    x = 2,986.88

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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.