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Finding the Fourth Proportional to 3,912.84, 5,399.28 and 2,421.72

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Solution

The fourth proportional to 3,912.84, 5,399.28 and 2,421.72 is: 3,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.84 : 5,399.28 = 2,421.72 : x
  2. Step 2: Convert to fraction form
    3,912.84/5,399.28 = 2,421.72/x
  3. Step 3: Cross multiply
    3,912.84x = 5,399.28 × 2,421.72
  4. Step 4: Simplify right side
    3,912.84x = 13,075,544.36
  5. Step 5: Solve for x
    x = 13,075,544.36/3,912.84
  6. Step 6: Final answer
    x = 3,341.70

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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.