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Finding the Fourth Proportional to 4,164.80, 6,275.84 and 3,450.32

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Solution

The fourth proportional to 4,164.80, 6,275.84 and 3,450.32 is: 5,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.80 : 6,275.84 = 3,450.32 : x
  2. Step 2: Convert to fraction form
    4,164.80/6,275.84 = 3,450.32/x
  3. Step 3: Cross multiply
    4,164.80x = 6,275.84 × 3,450.32
  4. Step 4: Simplify right side
    4,164.80x = 21,653,656.27
  5. Step 5: Solve for x
    x = 21,653,656.27/4,164.80
  6. Step 6: Final answer
    x = 5,199.21

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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.