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Finding the Fourth Proportional to 6,679.04, 10,004 and 3,755.84

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Solution

The fourth proportional to 6,679.04, 10,004 and 3,755.84 is: 5,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.04 : 10,004 = 3,755.84 : x
  2. Step 2: Convert to fraction form
    6,679.04/10,004 = 3,755.84/x
  3. Step 3: Cross multiply
    6,679.04x = 10,004 × 3,755.84
  4. Step 4: Simplify right side
    6,679.04x = 37,573,423.36
  5. Step 5: Solve for x
    x = 37,573,423.36/6,679.04
  6. Step 6: Final answer
    x = 5,625.57

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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.