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Finding the Fourth Proportional to 3,875.22, 5,346.54 and 2,382.66

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Solution

The fourth proportional to 3,875.22, 5,346.54 and 2,382.66 is: 3,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.22 : 5,346.54 = 2,382.66 : x
  2. Step 2: Convert to fraction form
    3,875.22/5,346.54 = 2,382.66/x
  3. Step 3: Cross multiply
    3,875.22x = 5,346.54 × 2,382.66
  4. Step 4: Simplify right side
    3,875.22x = 12,738,987.00
  5. Step 5: Solve for x
    x = 12,738,987.00/3,875.22
  6. Step 6: Final answer
    x = 3,287.29

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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.