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Finding the Fourth Proportional to 5,703.45, 7,870.91 and 3,185.46

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Solution

The fourth proportional to 5,703.45, 7,870.91 and 3,185.46 is: 4,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.45 : 7,870.91 = 3,185.46 : x
  2. Step 2: Convert to fraction form
    5,703.45/7,870.91 = 3,185.46/x
  3. Step 3: Cross multiply
    5,703.45x = 7,870.91 × 3,185.46
  4. Step 4: Simplify right side
    5,703.45x = 25,072,453.04
  5. Step 5: Solve for x
    x = 25,072,453.04/5,703.45
  6. Step 6: Final answer
    x = 4,396.02

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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.