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Finding the Fourth Proportional to 4,661.64, 6,429.24 and 3,401.28

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Solution

The fourth proportional to 4,661.64, 6,429.24 and 3,401.28 is: 4,690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.64 : 6,429.24 = 3,401.28 : x
  2. Step 2: Convert to fraction form
    4,661.64/6,429.24 = 3,401.28/x
  3. Step 3: Cross multiply
    4,661.64x = 6,429.24 × 3,401.28
  4. Step 4: Simplify right side
    4,661.64x = 21,867,645.43
  5. Step 5: Solve for x
    x = 21,867,645.43/4,661.64
  6. Step 6: Final answer
    x = 4,690.98

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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.