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Finding the Fourth Proportional to 4,672.11, 7,003.44 and 3,029.70

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Solution

The fourth proportional to 4,672.11, 7,003.44 and 3,029.70 is: 4,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.11 : 7,003.44 = 3,029.70 : x
  2. Step 2: Convert to fraction form
    4,672.11/7,003.44 = 3,029.70/x
  3. Step 3: Cross multiply
    4,672.11x = 7,003.44 × 3,029.70
  4. Step 4: Simplify right side
    4,672.11x = 21,218,322.17
  5. Step 5: Solve for x
    x = 21,218,322.17/4,672.11
  6. Step 6: Final answer
    x = 4,541.49

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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.