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Finding the Fourth Proportional to 3,763.76, 5,193.69 and 2,085.03

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Solution

The fourth proportional to 3,763.76, 5,193.69 and 2,085.03 is: 2,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.76 : 5,193.69 = 2,085.03 : x
  2. Step 2: Convert to fraction form
    3,763.76/5,193.69 = 2,085.03/x
  3. Step 3: Cross multiply
    3,763.76x = 5,193.69 × 2,085.03
  4. Step 4: Simplify right side
    3,763.76x = 10,828,999.46
  5. Step 5: Solve for x
    x = 10,828,999.46/3,763.76
  6. Step 6: Final answer
    x = 2,877.18

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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.