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Finding the Fourth Proportional to 4,352.98, 6,004.02 and 4,000

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Solution

The fourth proportional to 4,352.98, 6,004.02 and 4,000 is: 5,517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.98 : 6,004.02 = 4,000 : x
  2. Step 2: Convert to fraction form
    4,352.98/6,004.02 = 4,000/x
  3. Step 3: Cross multiply
    4,352.98x = 6,004.02 × 4,000
  4. Step 4: Simplify right side
    4,352.98x = 24,016,080
  5. Step 5: Solve for x
    x = 24,016,080/4,352.98
  6. Step 6: Final answer
    x = 5,517.16

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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.