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Finding the Fourth Proportional to 6,454.89, 8,908.38 and 4,217.67

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Solution

The fourth proportional to 6,454.89, 8,908.38 and 4,217.67 is: 5,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.89 : 8,908.38 = 4,217.67 : x
  2. Step 2: Convert to fraction form
    6,454.89/8,908.38 = 4,217.67/x
  3. Step 3: Cross multiply
    6,454.89x = 8,908.38 × 4,217.67
  4. Step 4: Simplify right side
    6,454.89x = 37,572,607.07
  5. Step 5: Solve for x
    x = 37,572,607.07/6,454.89
  6. Step 6: Final answer
    x = 5,820.80

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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.