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Finding the Fourth Proportional to 5,966.34, 8,889.56 and 5,631

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Solution

The fourth proportional to 5,966.34, 8,889.56 and 5,631 is: 8,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.34 : 8,889.56 = 5,631 : x
  2. Step 2: Convert to fraction form
    5,966.34/8,889.56 = 5,631/x
  3. Step 3: Cross multiply
    5,966.34x = 8,889.56 × 5,631
  4. Step 4: Simplify right side
    5,966.34x = 50,057,084.21
  5. Step 5: Solve for x
    x = 50,057,084.21/5,966.34
  6. Step 6: Final answer
    x = 8,389.91

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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.