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Finding the Fourth Proportional to 3,378.24, 5,066.24 and 2,075.84

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Solution

The fourth proportional to 3,378.24, 5,066.24 and 2,075.84 is: 3,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.24 : 5,066.24 = 2,075.84 : x
  2. Step 2: Convert to fraction form
    3,378.24/5,066.24 = 2,075.84/x
  3. Step 3: Cross multiply
    3,378.24x = 5,066.24 × 2,075.84
  4. Step 4: Simplify right side
    3,378.24x = 10,516,703.64
  5. Step 5: Solve for x
    x = 10,516,703.64/3,378.24
  6. Step 6: Final answer
    x = 3,113.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.