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Finding the Fourth Proportional to 5,851.86, 8,075.76 and 3,199.34

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Solution

The fourth proportional to 5,851.86, 8,075.76 and 3,199.34 is: 4,415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.86 : 8,075.76 = 3,199.34 : x
  2. Step 2: Convert to fraction form
    5,851.86/8,075.76 = 3,199.34/x
  3. Step 3: Cross multiply
    5,851.86x = 8,075.76 × 3,199.34
  4. Step 4: Simplify right side
    5,851.86x = 25,837,102.00
  5. Step 5: Solve for x
    x = 25,837,102.00/5,851.86
  6. Step 6: Final answer
    x = 4,415.19

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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.