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Finding the Fourth Proportional to 5,702.85, 7,870.14 and 3,185.15

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Solution

The fourth proportional to 5,702.85, 7,870.14 and 3,185.15 is: 4,395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.85 : 7,870.14 = 3,185.15 : x
  2. Step 2: Convert to fraction form
    5,702.85/7,870.14 = 3,185.15/x
  3. Step 3: Cross multiply
    5,702.85x = 7,870.14 × 3,185.15
  4. Step 4: Simplify right side
    5,702.85x = 25,067,537.07
  5. Step 5: Solve for x
    x = 25,067,537.07/5,702.85
  6. Step 6: Final answer
    x = 4,395.62

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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.