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Finding the Fourth Proportional to 4,400.57, 6,072.87 and 2,411

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Solution

The fourth proportional to 4,400.57, 6,072.87 and 2,411 is: 3,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.57 : 6,072.87 = 2,411 : x
  2. Step 2: Convert to fraction form
    4,400.57/6,072.87 = 2,411/x
  3. Step 3: Cross multiply
    4,400.57x = 6,072.87 × 2,411
  4. Step 4: Simplify right side
    4,400.57x = 14,641,689.57
  5. Step 5: Solve for x
    x = 14,641,689.57/4,400.57
  6. Step 6: Final answer
    x = 3,327.23

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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.