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Finding the Fourth Proportional to 3,842.87, 5,303.65 and 2,164.60

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Solution

The fourth proportional to 3,842.87, 5,303.65 and 2,164.60 is: 2,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.87 : 5,303.65 = 2,164.60 : x
  2. Step 2: Convert to fraction form
    3,842.87/5,303.65 = 2,164.60/x
  3. Step 3: Cross multiply
    3,842.87x = 5,303.65 × 2,164.60
  4. Step 4: Simplify right side
    3,842.87x = 11,480,262.12
  5. Step 5: Solve for x
    x = 11,480,262.12/3,842.87
  6. Step 6: Final answer
    x = 2,987.42

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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.