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Finding the Fourth Proportional to 5,703.29, 7,870.46 and 3,185.44

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Solution

The fourth proportional to 5,703.29, 7,870.46 and 3,185.44 is: 4,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.29 : 7,870.46 = 3,185.44 : x
  2. Step 2: Convert to fraction form
    5,703.29/7,870.46 = 3,185.44/x
  3. Step 3: Cross multiply
    5,703.29x = 7,870.46 × 3,185.44
  4. Step 4: Simplify right side
    5,703.29x = 25,070,842.50
  5. Step 5: Solve for x
    x = 25,070,842.50/5,703.29
  6. Step 6: Final answer
    x = 4,395.86

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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.