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Finding the Fourth Proportional to 5,124.42, 7,680.15 and 4,426.02

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Solution

The fourth proportional to 5,124.42, 7,680.15 and 4,426.02 is: 6,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.42 : 7,680.15 = 4,426.02 : x
  2. Step 2: Convert to fraction form
    5,124.42/7,680.15 = 4,426.02/x
  3. Step 3: Cross multiply
    5,124.42x = 7,680.15 × 4,426.02
  4. Step 4: Simplify right side
    5,124.42x = 33,992,497.50
  5. Step 5: Solve for x
    x = 33,992,497.50/5,124.42
  6. Step 6: Final answer
    x = 6,633.43

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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.