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Finding the Fourth Proportional to 4,509.84, 6,766.55 and 1,735.76

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Solution

The fourth proportional to 4,509.84, 6,766.55 and 1,735.76 is: 2,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.84 : 6,766.55 = 1,735.76 : x
  2. Step 2: Convert to fraction form
    4,509.84/6,766.55 = 1,735.76/x
  3. Step 3: Cross multiply
    4,509.84x = 6,766.55 × 1,735.76
  4. Step 4: Simplify right side
    4,509.84x = 11,745,129.55
  5. Step 5: Solve for x
    x = 11,745,129.55/4,509.84
  6. Step 6: Final answer
    x = 2,604.34

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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.