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Finding the Fourth Proportional to 6,416.55, 8,850.99 and 3,897.39

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Solution

The fourth proportional to 6,416.55, 8,850.99 and 3,897.39 is: 5,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.55 : 8,850.99 = 3,897.39 : x
  2. Step 2: Convert to fraction form
    6,416.55/8,850.99 = 3,897.39/x
  3. Step 3: Cross multiply
    6,416.55x = 8,850.99 × 3,897.39
  4. Step 4: Simplify right side
    6,416.55x = 34,495,759.92
  5. Step 5: Solve for x
    x = 34,495,759.92/6,416.55
  6. Step 6: Final answer
    x = 5,376.06

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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.