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Finding the Fourth Proportional to 3,137.06, 4,702.02 and 1,285.80

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Solution

The fourth proportional to 3,137.06, 4,702.02 and 1,285.80 is: 1,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.06 : 4,702.02 = 1,285.80 : x
  2. Step 2: Convert to fraction form
    3,137.06/4,702.02 = 1,285.80/x
  3. Step 3: Cross multiply
    3,137.06x = 4,702.02 × 1,285.80
  4. Step 4: Simplify right side
    3,137.06x = 6,045,857.32
  5. Step 5: Solve for x
    x = 6,045,857.32/3,137.06
  6. Step 6: Final answer
    x = 1,927.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.