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Finding the Fourth Proportional to 5,048.71, 7,576.22 and 1,928.98

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Solution

The fourth proportional to 5,048.71, 7,576.22 and 1,928.98 is: 2,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.71 : 7,576.22 = 1,928.98 : x
  2. Step 2: Convert to fraction form
    5,048.71/7,576.22 = 1,928.98/x
  3. Step 3: Cross multiply
    5,048.71x = 7,576.22 × 1,928.98
  4. Step 4: Simplify right side
    5,048.71x = 14,614,388.44
  5. Step 5: Solve for x
    x = 14,614,388.44/5,048.71
  6. Step 6: Final answer
    x = 2,894.68

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1.5x scale

Why These Related Problems?

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