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Finding the Fourth Proportional to 4,315, 6,471.96 and 1,974.32

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Solution

The fourth proportional to 4,315, 6,471.96 and 1,974.32 is: 2,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315 : 6,471.96 = 1,974.32 : x
  2. Step 2: Convert to fraction form
    4,315/6,471.96 = 1,974.32/x
  3. Step 3: Cross multiply
    4,315x = 6,471.96 × 1,974.32
  4. Step 4: Simplify right side
    4,315x = 12,777,720.07
  5. Step 5: Solve for x
    x = 12,777,720.07/4,315
  6. Step 6: Final answer
    x = 2,961.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.