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Finding the Fourth Proportional to 5,702.75, 7,870.59 and 3,185.03

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Solution

The fourth proportional to 5,702.75, 7,870.59 and 3,185.03 is: 4,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.75 : 7,870.59 = 3,185.03 : x
  2. Step 2: Convert to fraction form
    5,702.75/7,870.59 = 3,185.03/x
  3. Step 3: Cross multiply
    5,702.75x = 7,870.59 × 3,185.03
  4. Step 4: Simplify right side
    5,702.75x = 25,068,025.91
  5. Step 5: Solve for x
    x = 25,068,025.91/5,702.75
  6. Step 6: Final answer
    x = 4,395.78

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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.