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Finding the Fourth Proportional to 4,832.29, 7,281.35 and 3,974.02

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Solution

The fourth proportional to 4,832.29, 7,281.35 and 3,974.02 is: 5,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.29 : 7,281.35 = 3,974.02 : x
  2. Step 2: Convert to fraction form
    4,832.29/7,281.35 = 3,974.02/x
  3. Step 3: Cross multiply
    4,832.29x = 7,281.35 × 3,974.02
  4. Step 4: Simplify right side
    4,832.29x = 28,936,184.19
  5. Step 5: Solve for x
    x = 28,936,184.19/4,832.29
  6. Step 6: Final answer
    x = 5,988.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.