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Finding the Fourth Proportional to 5,371.92, 8,060.04 and 1,674

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Solution

The fourth proportional to 5,371.92, 8,060.04 and 1,674 is: 2,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.92 : 8,060.04 = 1,674 : x
  2. Step 2: Convert to fraction form
    5,371.92/8,060.04 = 1,674/x
  3. Step 3: Cross multiply
    5,371.92x = 8,060.04 × 1,674
  4. Step 4: Simplify right side
    5,371.92x = 13,492,506.96
  5. Step 5: Solve for x
    x = 13,492,506.96/5,371.92
  6. Step 6: Final answer
    x = 2,511.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.