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Finding the Fourth Proportional to 5,072.52, 7,609.05 and 1,564.94

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Solution

The fourth proportional to 5,072.52, 7,609.05 and 1,564.94 is: 2,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.52 : 7,609.05 = 1,564.94 : x
  2. Step 2: Convert to fraction form
    5,072.52/7,609.05 = 1,564.94/x
  3. Step 3: Cross multiply
    5,072.52x = 7,609.05 × 1,564.94
  4. Step 4: Simplify right side
    5,072.52x = 11,907,706.71
  5. Step 5: Solve for x
    x = 11,907,706.71/5,072.52
  6. Step 6: Final answer
    x = 2,347.49

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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.