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Finding the Fourth Proportional to 5,703.66, 7,870.97 and 3,185.81

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Solution

The fourth proportional to 5,703.66, 7,870.97 and 3,185.81 is: 4,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.66 : 7,870.97 = 3,185.81 : x
  2. Step 2: Convert to fraction form
    5,703.66/7,870.97 = 3,185.81/x
  3. Step 3: Cross multiply
    5,703.66x = 7,870.97 × 3,185.81
  4. Step 4: Simplify right side
    5,703.66x = 25,075,383.90
  5. Step 5: Solve for x
    x = 25,075,383.90/5,703.66
  6. Step 6: Final answer
    x = 4,396.37

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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.