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Finding the Fourth Proportional to 6,214.72, 8,577.60 and 3,858.40

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Solution

The fourth proportional to 6,214.72, 8,577.60 and 3,858.40 is: 5,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.72 : 8,577.60 = 3,858.40 : x
  2. Step 2: Convert to fraction form
    6,214.72/8,577.60 = 3,858.40/x
  3. Step 3: Cross multiply
    6,214.72x = 8,577.60 × 3,858.40
  4. Step 4: Simplify right side
    6,214.72x = 33,095,811.84
  5. Step 5: Solve for x
    x = 33,095,811.84/6,214.72
  6. Step 6: Final answer
    x = 5,325.39

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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.