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Finding the Fourth Proportional to 4,467.84, 6,702.89 and 2,620.50

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Solution

The fourth proportional to 4,467.84, 6,702.89 and 2,620.50 is: 3,931.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.84 : 6,702.89 = 2,620.50 : x
  2. Step 2: Convert to fraction form
    4,467.84/6,702.89 = 2,620.50/x
  3. Step 3: Cross multiply
    4,467.84x = 6,702.89 × 2,620.50
  4. Step 4: Simplify right side
    4,467.84x = 17,564,910.14
  5. Step 5: Solve for x
    x = 17,564,910.14/4,467.84
  6. Step 6: Final answer
    x = 3,931.41

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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.