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Finding the Fourth Proportional to 3,598.60, 4,965.90 and 2,419.48

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Solution

The fourth proportional to 3,598.60, 4,965.90 and 2,419.48 is: 3,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.60 : 4,965.90 = 2,419.48 : x
  2. Step 2: Convert to fraction form
    3,598.60/4,965.90 = 2,419.48/x
  3. Step 3: Cross multiply
    3,598.60x = 4,965.90 × 2,419.48
  4. Step 4: Simplify right side
    3,598.60x = 12,014,895.73
  5. Step 5: Solve for x
    x = 12,014,895.73/3,598.60
  6. Step 6: Final answer
    x = 3,338.77

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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.