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Finding the Fourth Proportional to 4,685.76, 7,027.83 and 1,763.55

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Solution

The fourth proportional to 4,685.76, 7,027.83 and 1,763.55 is: 2,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.76 : 7,027.83 = 1,763.55 : x
  2. Step 2: Convert to fraction form
    4,685.76/7,027.83 = 1,763.55/x
  3. Step 3: Cross multiply
    4,685.76x = 7,027.83 × 1,763.55
  4. Step 4: Simplify right side
    4,685.76x = 12,393,929.60
  5. Step 5: Solve for x
    x = 12,393,929.60/4,685.76
  6. Step 6: Final answer
    x = 2,645.02

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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.