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Finding the Fourth Proportional to 4,175.06, 5,754.58 and 3,333.06

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Solution

The fourth proportional to 4,175.06, 5,754.58 and 3,333.06 is: 4,594.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.06 : 5,754.58 = 3,333.06 : x
  2. Step 2: Convert to fraction form
    4,175.06/5,754.58 = 3,333.06/x
  3. Step 3: Cross multiply
    4,175.06x = 5,754.58 × 3,333.06
  4. Step 4: Simplify right side
    4,175.06x = 19,180,352.08
  5. Step 5: Solve for x
    x = 19,180,352.08/4,175.06
  6. Step 6: Final answer
    x = 4,594.04

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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.