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Finding the Fourth Proportional to 3,973.14, 5,482.14 and 2,401.24

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Solution

The fourth proportional to 3,973.14, 5,482.14 and 2,401.24 is: 3,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.14 : 5,482.14 = 2,401.24 : x
  2. Step 2: Convert to fraction form
    3,973.14/5,482.14 = 2,401.24/x
  3. Step 3: Cross multiply
    3,973.14x = 5,482.14 × 2,401.24
  4. Step 4: Simplify right side
    3,973.14x = 13,163,933.85
  5. Step 5: Solve for x
    x = 13,163,933.85/3,973.14
  6. Step 6: Final answer
    x = 3,313.23

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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.