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Finding the Fourth Proportional to 5,124.86, 7,674.97 and 3,476.41

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Solution

The fourth proportional to 5,124.86, 7,674.97 and 3,476.41 is: 5,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.86 : 7,674.97 = 3,476.41 : x
  2. Step 2: Convert to fraction form
    5,124.86/7,674.97 = 3,476.41/x
  3. Step 3: Cross multiply
    5,124.86x = 7,674.97 × 3,476.41
  4. Step 4: Simplify right side
    5,124.86x = 26,681,342.46
  5. Step 5: Solve for x
    x = 26,681,342.46/5,124.86
  6. Step 6: Final answer
    x = 5,206.26

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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.