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Finding the Fourth Proportional to 4,605.56, 6,358.20 and 3,429.44

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Solution

The fourth proportional to 4,605.56, 6,358.20 and 3,429.44 is: 4,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.56 : 6,358.20 = 3,429.44 : x
  2. Step 2: Convert to fraction form
    4,605.56/6,358.20 = 3,429.44/x
  3. Step 3: Cross multiply
    4,605.56x = 6,358.20 × 3,429.44
  4. Step 4: Simplify right side
    4,605.56x = 21,805,065.41
  5. Step 5: Solve for x
    x = 21,805,065.41/4,605.56
  6. Step 6: Final answer
    x = 4,734.51

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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.