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Finding the Fourth Proportional to 5,710.56, 8,559.70 and 3,735.44

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Solution

The fourth proportional to 5,710.56, 8,559.70 and 3,735.44 is: 5,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.56 : 8,559.70 = 3,735.44 : x
  2. Step 2: Convert to fraction form
    5,710.56/8,559.70 = 3,735.44/x
  3. Step 3: Cross multiply
    5,710.56x = 8,559.70 × 3,735.44
  4. Step 4: Simplify right side
    5,710.56x = 31,974,245.77
  5. Step 5: Solve for x
    x = 31,974,245.77/5,710.56
  6. Step 6: Final answer
    x = 5,599.14

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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.