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Finding the Fourth Proportional to 3,047.88, 4,575.12 and 2,283.24

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Solution

The fourth proportional to 3,047.88, 4,575.12 and 2,283.24 is: 3,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.88 : 4,575.12 = 2,283.24 : x
  2. Step 2: Convert to fraction form
    3,047.88/4,575.12 = 2,283.24/x
  3. Step 3: Cross multiply
    3,047.88x = 4,575.12 × 2,283.24
  4. Step 4: Simplify right side
    3,047.88x = 10,446,096.99
  5. Step 5: Solve for x
    x = 10,446,096.99/3,047.88
  6. Step 6: Final answer
    x = 3,427.33

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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.