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Finding the Fourth Proportional to 4,649.34, 6,406.56 and 4,321.20

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Solution

The fourth proportional to 4,649.34, 6,406.56 and 4,321.20 is: 5,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.34 : 6,406.56 = 4,321.20 : x
  2. Step 2: Convert to fraction form
    4,649.34/6,406.56 = 4,321.20/x
  3. Step 3: Cross multiply
    4,649.34x = 6,406.56 × 4,321.20
  4. Step 4: Simplify right side
    4,649.34x = 27,684,021.48
  5. Step 5: Solve for x
    x = 27,684,021.48/4,649.34
  6. Step 6: Final answer
    x = 5,954.39

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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.