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Finding the Fourth Proportional to 4,672.13, 7,008.57 and 1,899

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Solution

The fourth proportional to 4,672.13, 7,008.57 and 1,899 is: 2,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.13 : 7,008.57 = 1,899 : x
  2. Step 2: Convert to fraction form
    4,672.13/7,008.57 = 1,899/x
  3. Step 3: Cross multiply
    4,672.13x = 7,008.57 × 1,899
  4. Step 4: Simplify right side
    4,672.13x = 13,309,274.43
  5. Step 5: Solve for x
    x = 13,309,274.43/4,672.13
  6. Step 6: Final answer
    x = 2,848.66

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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.