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Finding the Fourth Proportional to 4,671.74, 7,002.88 and 3,029.33

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Solution

The fourth proportional to 4,671.74, 7,002.88 and 3,029.33 is: 4,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.74 : 7,002.88 = 3,029.33 : x
  2. Step 2: Convert to fraction form
    4,671.74/7,002.88 = 3,029.33/x
  3. Step 3: Cross multiply
    4,671.74x = 7,002.88 × 3,029.33
  4. Step 4: Simplify right side
    4,671.74x = 21,213,991.88
  5. Step 5: Solve for x
    x = 21,213,991.88/4,671.74
  6. Step 6: Final answer
    x = 4,540.92

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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.