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Finding the Fourth Proportional to 6,385.20, 9,577.79 and 2,003.00

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Solution

The fourth proportional to 6,385.20, 9,577.79 and 2,003.00 is: 3,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.20 : 9,577.79 = 2,003.00 : x
  2. Step 2: Convert to fraction form
    6,385.20/9,577.79 = 2,003.00/x
  3. Step 3: Cross multiply
    6,385.20x = 9,577.79 × 2,003.00
  4. Step 4: Simplify right side
    6,385.20x = 19,184,262.98
  5. Step 5: Solve for x
    x = 19,184,262.98/6,385.20
  6. Step 6: Final answer
    x = 3,004.49

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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.