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Finding the Fourth Proportional to 4,314.98, 5,964.09 and 3,628.10

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Solution

The fourth proportional to 4,314.98, 5,964.09 and 3,628.10 is: 5,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.98 : 5,964.09 = 3,628.10 : x
  2. Step 2: Convert to fraction form
    4,314.98/5,964.09 = 3,628.10/x
  3. Step 3: Cross multiply
    4,314.98x = 5,964.09 × 3,628.10
  4. Step 4: Simplify right side
    4,314.98x = 21,638,314.93
  5. Step 5: Solve for x
    x = 21,638,314.93/4,314.98
  6. Step 6: Final answer
    x = 5,014.70

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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.