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Finding the Fourth Proportional to 3,000.04, 4,499.72 and 808.94

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Solution

The fourth proportional to 3,000.04, 4,499.72 and 808.94 is: 1,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.04 : 4,499.72 = 808.94 : x
  2. Step 2: Convert to fraction form
    3,000.04/4,499.72 = 808.94/x
  3. Step 3: Cross multiply
    3,000.04x = 4,499.72 × 808.94
  4. Step 4: Simplify right side
    3,000.04x = 3,640,003.50
  5. Step 5: Solve for x
    x = 3,640,003.50/3,000.04
  6. Step 6: Final answer
    x = 1,213.32

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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.