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Finding the Fourth Proportional to 4,882.60, 7,323.90 and 4,709.80

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Solution

The fourth proportional to 4,882.60, 7,323.90 and 4,709.80 is: 7,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.60 : 7,323.90 = 4,709.80 : x
  2. Step 2: Convert to fraction form
    4,882.60/7,323.90 = 4,709.80/x
  3. Step 3: Cross multiply
    4,882.60x = 7,323.90 × 4,709.80
  4. Step 4: Simplify right side
    4,882.60x = 34,494,104.22
  5. Step 5: Solve for x
    x = 34,494,104.22/4,882.60
  6. Step 6: Final answer
    x = 7,064.70

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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.