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Finding the Fourth Proportional to 5,412.50, 8,137.28 and 5,006.69

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Solution

The fourth proportional to 5,412.50, 8,137.28 and 5,006.69 is: 7,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.50 : 8,137.28 = 5,006.69 : x
  2. Step 2: Convert to fraction form
    5,412.50/8,137.28 = 5,006.69/x
  3. Step 3: Cross multiply
    5,412.50x = 8,137.28 × 5,006.69
  4. Step 4: Simplify right side
    5,412.50x = 40,740,812.59
  5. Step 5: Solve for x
    x = 40,740,812.59/5,412.50
  6. Step 6: Final answer
    x = 7,527.17

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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.