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Finding the Fourth Proportional to 3,851.06, 5,775.16 and 1,385.22

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Solution

The fourth proportional to 3,851.06, 5,775.16 and 1,385.22 is: 2,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.06 : 5,775.16 = 1,385.22 : x
  2. Step 2: Convert to fraction form
    3,851.06/5,775.16 = 1,385.22/x
  3. Step 3: Cross multiply
    3,851.06x = 5,775.16 × 1,385.22
  4. Step 4: Simplify right side
    3,851.06x = 7,999,867.14
  5. Step 5: Solve for x
    x = 7,999,867.14/3,851.06
  6. Step 6: Final answer
    x = 2,077.32

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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.