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Finding the Fourth Proportional to 3,000.48, 4,478.49 and 2,815.80

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Solution

The fourth proportional to 3,000.48, 4,478.49 and 2,815.80 is: 4,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.48 : 4,478.49 = 2,815.80 : x
  2. Step 2: Convert to fraction form
    3,000.48/4,478.49 = 2,815.80/x
  3. Step 3: Cross multiply
    3,000.48x = 4,478.49 × 2,815.80
  4. Step 4: Simplify right side
    3,000.48x = 12,610,532.14
  5. Step 5: Solve for x
    x = 12,610,532.14/3,000.48
  6. Step 6: Final answer
    x = 4,202.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.