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Finding the Fourth Proportional to 5,874.49, 8,809.00 and 2,176.64

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Solution

The fourth proportional to 5,874.49, 8,809.00 and 2,176.64 is: 3,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.49 : 8,809.00 = 2,176.64 : x
  2. Step 2: Convert to fraction form
    5,874.49/8,809.00 = 2,176.64/x
  3. Step 3: Cross multiply
    5,874.49x = 8,809.00 × 2,176.64
  4. Step 4: Simplify right side
    5,874.49x = 19,174,005.31
  5. Step 5: Solve for x
    x = 19,174,005.31/5,874.49
  6. Step 6: Final answer
    x = 3,263.94

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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.