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Finding the Fourth Proportional to 3,763.30, 5,647.38 and 2,840.98

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Solution

The fourth proportional to 3,763.30, 5,647.38 and 2,840.98 is: 4,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.30 : 5,647.38 = 2,840.98 : x
  2. Step 2: Convert to fraction form
    3,763.30/5,647.38 = 2,840.98/x
  3. Step 3: Cross multiply
    3,763.30x = 5,647.38 × 2,840.98
  4. Step 4: Simplify right side
    3,763.30x = 16,044,093.63
  5. Step 5: Solve for x
    x = 16,044,093.63/3,763.30
  6. Step 6: Final answer
    x = 4,263.30

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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.