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Finding the Fourth Proportional to 4,649.24, 6,401.91 and 4,018.64

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Solution

The fourth proportional to 4,649.24, 6,401.91 and 4,018.64 is: 5,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.24 : 6,401.91 = 4,018.64 : x
  2. Step 2: Convert to fraction form
    4,649.24/6,401.91 = 4,018.64/x
  3. Step 3: Cross multiply
    4,649.24x = 6,401.91 × 4,018.64
  4. Step 4: Simplify right side
    4,649.24x = 25,726,971.60
  5. Step 5: Solve for x
    x = 25,726,971.60/4,649.24
  6. Step 6: Final answer
    x = 5,533.59

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