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Finding the Fourth Proportional to 4,206.55, 6,300.71 and 3,049.75

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Solution

The fourth proportional to 4,206.55, 6,300.71 and 3,049.75 is: 4,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.55 : 6,300.71 = 3,049.75 : x
  2. Step 2: Convert to fraction form
    4,206.55/6,300.71 = 3,049.75/x
  3. Step 3: Cross multiply
    4,206.55x = 6,300.71 × 3,049.75
  4. Step 4: Simplify right side
    4,206.55x = 19,215,575.07
  5. Step 5: Solve for x
    x = 19,215,575.07/4,206.55
  6. Step 6: Final answer
    x = 4,568.01

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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.