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Finding the Fourth Proportional to 4,506.30, 6,754.19 and 1,583.01

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Solution

The fourth proportional to 4,506.30, 6,754.19 and 1,583.01 is: 2,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.30 : 6,754.19 = 1,583.01 : x
  2. Step 2: Convert to fraction form
    4,506.30/6,754.19 = 1,583.01/x
  3. Step 3: Cross multiply
    4,506.30x = 6,754.19 × 1,583.01
  4. Step 4: Simplify right side
    4,506.30x = 10,691,942.40
  5. Step 5: Solve for x
    x = 10,691,942.40/4,506.30
  6. Step 6: Final answer
    x = 2,372.67

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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.