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Finding the Fourth Proportional to 3,764.35, 5,194.29 and 2,085.35

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Solution

The fourth proportional to 3,764.35, 5,194.29 and 2,085.35 is: 2,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.35 : 5,194.29 = 2,085.35 : x
  2. Step 2: Convert to fraction form
    3,764.35/5,194.29 = 2,085.35/x
  3. Step 3: Cross multiply
    3,764.35x = 5,194.29 × 2,085.35
  4. Step 4: Simplify right side
    3,764.35x = 10,831,894.50
  5. Step 5: Solve for x
    x = 10,831,894.50/3,764.35
  6. Step 6: Final answer
    x = 2,877.49

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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.