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Finding the Fourth Proportional to 4,493.88, 6,201.62 and 2,605.60

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Solution

The fourth proportional to 4,493.88, 6,201.62 and 2,605.60 is: 3,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.88 : 6,201.62 = 2,605.60 : x
  2. Step 2: Convert to fraction form
    4,493.88/6,201.62 = 2,605.60/x
  3. Step 3: Cross multiply
    4,493.88x = 6,201.62 × 2,605.60
  4. Step 4: Simplify right side
    4,493.88x = 16,158,941.07
  5. Step 5: Solve for x
    x = 16,158,941.07/4,493.88
  6. Step 6: Final answer
    x = 3,595.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.