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Finding the Fourth Proportional to 4,508.88, 6,224.28 and 2,646

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Solution

The fourth proportional to 4,508.88, 6,224.28 and 2,646 is: 3,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508.88 : 6,224.28 = 2,646 : x
  2. Step 2: Convert to fraction form
    4,508.88/6,224.28 = 2,646/x
  3. Step 3: Cross multiply
    4,508.88x = 6,224.28 × 2,646
  4. Step 4: Simplify right side
    4,508.88x = 16,469,444.88
  5. Step 5: Solve for x
    x = 16,469,444.88/4,508.88
  6. Step 6: Final answer
    x = 3,652.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.