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Finding the Fourth Proportional to 4,645.29, 6,415.82 and 3,059.03

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Solution

The fourth proportional to 4,645.29, 6,415.82 and 3,059.03 is: 4,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.29 : 6,415.82 = 3,059.03 : x
  2. Step 2: Convert to fraction form
    4,645.29/6,415.82 = 3,059.03/x
  3. Step 3: Cross multiply
    4,645.29x = 6,415.82 × 3,059.03
  4. Step 4: Simplify right side
    4,645.29x = 19,626,138.48
  5. Step 5: Solve for x
    x = 19,626,138.48/4,645.29
  6. Step 6: Final answer
    x = 4,224.96

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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.