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Finding the Fourth Proportional to 5,852.13, 8,075.34 and 3,493.82

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Solution

The fourth proportional to 5,852.13, 8,075.34 and 3,493.82 is: 4,821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.13 : 8,075.34 = 3,493.82 : x
  2. Step 2: Convert to fraction form
    5,852.13/8,075.34 = 3,493.82/x
  3. Step 3: Cross multiply
    5,852.13x = 8,075.34 × 3,493.82
  4. Step 4: Simplify right side
    5,852.13x = 28,213,744.02
  5. Step 5: Solve for x
    x = 28,213,744.02/5,852.13
  6. Step 6: Final answer
    x = 4,821.11

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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.