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Finding the Fourth Proportional to 4,507.88, 6,758.57 and 2,041.43

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Solution

The fourth proportional to 4,507.88, 6,758.57 and 2,041.43 is: 3,060.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.88 : 6,758.57 = 2,041.43 : x
  2. Step 2: Convert to fraction form
    4,507.88/6,758.57 = 2,041.43/x
  3. Step 3: Cross multiply
    4,507.88x = 6,758.57 × 2,041.43
  4. Step 4: Simplify right side
    4,507.88x = 13,797,103.56
  5. Step 5: Solve for x
    x = 13,797,103.56/4,507.88
  6. Step 6: Final answer
    x = 3,060.67

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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.