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Finding the Fourth Proportional to 4,546.67, 6,820.69 and 1,624.29

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Solution

The fourth proportional to 4,546.67, 6,820.69 and 1,624.29 is: 2,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.67 : 6,820.69 = 1,624.29 : x
  2. Step 2: Convert to fraction form
    4,546.67/6,820.69 = 1,624.29/x
  3. Step 3: Cross multiply
    4,546.67x = 6,820.69 × 1,624.29
  4. Step 4: Simplify right side
    4,546.67x = 11,078,774.50
  5. Step 5: Solve for x
    x = 11,078,774.50/4,546.67
  6. Step 6: Final answer
    x = 2,436.68

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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.