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Finding the Fourth Proportional to 5,633.70, 7,777.11 and 4,019.85

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Solution

The fourth proportional to 5,633.70, 7,777.11 and 4,019.85 is: 5,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.70 : 7,777.11 = 4,019.85 : x
  2. Step 2: Convert to fraction form
    5,633.70/7,777.11 = 4,019.85/x
  3. Step 3: Cross multiply
    5,633.70x = 7,777.11 × 4,019.85
  4. Step 4: Simplify right side
    5,633.70x = 31,262,815.63
  5. Step 5: Solve for x
    x = 31,262,815.63/5,633.70
  6. Step 6: Final answer
    x = 5,549.25

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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.