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Finding the Fourth Proportional to 4,700.25, 6,484.50 and 3,021.39

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Solution

The fourth proportional to 4,700.25, 6,484.50 and 3,021.39 is: 4,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.25 : 6,484.50 = 3,021.39 : x
  2. Step 2: Convert to fraction form
    4,700.25/6,484.50 = 3,021.39/x
  3. Step 3: Cross multiply
    4,700.25x = 6,484.50 × 3,021.39
  4. Step 4: Simplify right side
    4,700.25x = 19,592,203.46
  5. Step 5: Solve for x
    x = 19,592,203.46/4,700.25
  6. Step 6: Final answer
    x = 4,168.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.