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Finding the Fourth Proportional to 3,998.47, 5,511.96 and 2,582.05

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Solution

The fourth proportional to 3,998.47, 5,511.96 and 2,582.05 is: 3,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.47 : 5,511.96 = 2,582.05 : x
  2. Step 2: Convert to fraction form
    3,998.47/5,511.96 = 2,582.05/x
  3. Step 3: Cross multiply
    3,998.47x = 5,511.96 × 2,582.05
  4. Step 4: Simplify right side
    3,998.47x = 14,232,156.32
  5. Step 5: Solve for x
    x = 14,232,156.32/3,998.47
  6. Step 6: Final answer
    x = 3,559.40

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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.