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Finding the Fourth Proportional to 3,853.63, 5,318.04 and 2,085.26

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Solution

The fourth proportional to 3,853.63, 5,318.04 and 2,085.26 is: 2,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.63 : 5,318.04 = 2,085.26 : x
  2. Step 2: Convert to fraction form
    3,853.63/5,318.04 = 2,085.26/x
  3. Step 3: Cross multiply
    3,853.63x = 5,318.04 × 2,085.26
  4. Step 4: Simplify right side
    3,853.63x = 11,089,495.50
  5. Step 5: Solve for x
    x = 11,089,495.50/3,853.63
  6. Step 6: Final answer
    x = 2,877.68

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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.