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Finding the Fourth Proportional to 4,599.60, 6,893.91 and 2,647.77

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Solution

The fourth proportional to 4,599.60, 6,893.91 and 2,647.77 is: 3,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.60 : 6,893.91 = 2,647.77 : x
  2. Step 2: Convert to fraction form
    4,599.60/6,893.91 = 2,647.77/x
  3. Step 3: Cross multiply
    4,599.60x = 6,893.91 × 2,647.77
  4. Step 4: Simplify right side
    4,599.60x = 18,253,488.08
  5. Step 5: Solve for x
    x = 18,253,488.08/4,599.60
  6. Step 6: Final answer
    x = 3,968.49

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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.