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Finding the Fourth Proportional to 5,971.34, 8,897.01 and 5,636

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Solution

The fourth proportional to 5,971.34, 8,897.01 and 5,636 is: 8,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.34 : 8,897.01 = 5,636 : x
  2. Step 2: Convert to fraction form
    5,971.34/8,897.01 = 5,636/x
  3. Step 3: Cross multiply
    5,971.34x = 8,897.01 × 5,636
  4. Step 4: Simplify right side
    5,971.34x = 50,143,548.36
  5. Step 5: Solve for x
    x = 50,143,548.36/5,971.34
  6. Step 6: Final answer
    x = 8,397.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.