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Finding the Fourth Proportional to 4,182.55, 6,271.99 and 3,007.64

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Solution

The fourth proportional to 4,182.55, 6,271.99 and 3,007.64 is: 4,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.55 : 6,271.99 = 3,007.64 : x
  2. Step 2: Convert to fraction form
    4,182.55/6,271.99 = 3,007.64/x
  3. Step 3: Cross multiply
    4,182.55x = 6,271.99 × 3,007.64
  4. Step 4: Simplify right side
    4,182.55x = 18,863,872.97
  5. Step 5: Solve for x
    x = 18,863,872.97/4,182.55
  6. Step 6: Final answer
    x = 4,510.14

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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.