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Finding the Fourth Proportional to 4,649.17, 6,406.32 and 4,321.03

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Solution

The fourth proportional to 4,649.17, 6,406.32 and 4,321.03 is: 5,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.17 : 6,406.32 = 4,321.03 : x
  2. Step 2: Convert to fraction form
    4,649.17/6,406.32 = 4,321.03/x
  3. Step 3: Cross multiply
    4,649.17x = 6,406.32 × 4,321.03
  4. Step 4: Simplify right side
    4,649.17x = 27,681,879.30
  5. Step 5: Solve for x
    x = 27,681,879.30/4,649.17
  6. Step 6: Final answer
    x = 5,954.16

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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.