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Finding the Fourth Proportional to 4,074.57, 6,114.93 and 2,824.46

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Solution

The fourth proportional to 4,074.57, 6,114.93 and 2,824.46 is: 4,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.57 : 6,114.93 = 2,824.46 : x
  2. Step 2: Convert to fraction form
    4,074.57/6,114.93 = 2,824.46/x
  3. Step 3: Cross multiply
    4,074.57x = 6,114.93 × 2,824.46
  4. Step 4: Simplify right side
    4,074.57x = 17,271,330.49
  5. Step 5: Solve for x
    x = 17,271,330.49/4,074.57
  6. Step 6: Final answer
    x = 4,238.82

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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.