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Finding the Fourth Proportional to 3,842.63, 5,760.35 and 2,085.06

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Solution

The fourth proportional to 3,842.63, 5,760.35 and 2,085.06 is: 3,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.63 : 5,760.35 = 2,085.06 : x
  2. Step 2: Convert to fraction form
    3,842.63/5,760.35 = 2,085.06/x
  3. Step 3: Cross multiply
    3,842.63x = 5,760.35 × 2,085.06
  4. Step 4: Simplify right side
    3,842.63x = 12,010,664.95
  5. Step 5: Solve for x
    x = 12,010,664.95/3,842.63
  6. Step 6: Final answer
    x = 3,125.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.