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Finding the Fourth Proportional to 5,677.19, 7,835.61 and 3,759.63

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Solution

The fourth proportional to 5,677.19, 7,835.61 and 3,759.63 is: 5,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.19 : 7,835.61 = 3,759.63 : x
  2. Step 2: Convert to fraction form
    5,677.19/7,835.61 = 3,759.63/x
  3. Step 3: Cross multiply
    5,677.19x = 7,835.61 × 3,759.63
  4. Step 4: Simplify right side
    5,677.19x = 29,458,956.04
  5. Step 5: Solve for x
    x = 29,458,956.04/5,677.19
  6. Step 6: Final answer
    x = 5,189.00

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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.