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Finding the Fourth Proportional to 4,672.50, 6,448.05 and 2,576.63

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Solution

The fourth proportional to 4,672.50, 6,448.05 and 2,576.63 is: 3,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.50 : 6,448.05 = 2,576.63 : x
  2. Step 2: Convert to fraction form
    4,672.50/6,448.05 = 2,576.63/x
  3. Step 3: Cross multiply
    4,672.50x = 6,448.05 × 2,576.63
  4. Step 4: Simplify right side
    4,672.50x = 16,614,206.83
  5. Step 5: Solve for x
    x = 16,614,206.83/4,672.50
  6. Step 6: Final answer
    x = 3,555.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.