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Finding the Fourth Proportional to 5,852.06, 8,075.97 and 3,199.47

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Solution

The fourth proportional to 5,852.06, 8,075.97 and 3,199.47 is: 4,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.06 : 8,075.97 = 3,199.47 : x
  2. Step 2: Convert to fraction form
    5,852.06/8,075.97 = 3,199.47/x
  3. Step 3: Cross multiply
    5,852.06x = 8,075.97 × 3,199.47
  4. Step 4: Simplify right side
    5,852.06x = 25,838,823.74
  5. Step 5: Solve for x
    x = 25,838,823.74/5,852.06
  6. Step 6: Final answer
    x = 4,415.34

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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.