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Finding the Fourth Proportional to 3,998.98, 5,522.06 and 2,509.45

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Solution

The fourth proportional to 3,998.98, 5,522.06 and 2,509.45 is: 3,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.98 : 5,522.06 = 2,509.45 : x
  2. Step 2: Convert to fraction form
    3,998.98/5,522.06 = 2,509.45/x
  3. Step 3: Cross multiply
    3,998.98x = 5,522.06 × 2,509.45
  4. Step 4: Simplify right side
    3,998.98x = 13,857,333.47
  5. Step 5: Solve for x
    x = 13,857,333.47/3,998.98
  6. Step 6: Final answer
    x = 3,465.22

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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.