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Finding the Fourth Proportional to 4,496.61, 6,202.26 and 4,124.82

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Solution

The fourth proportional to 4,496.61, 6,202.26 and 4,124.82 is: 5,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.61 : 6,202.26 = 4,124.82 : x
  2. Step 2: Convert to fraction form
    4,496.61/6,202.26 = 4,124.82/x
  3. Step 3: Cross multiply
    4,496.61x = 6,202.26 × 4,124.82
  4. Step 4: Simplify right side
    4,496.61x = 25,583,206.09
  5. Step 5: Solve for x
    x = 25,583,206.09/4,496.61
  6. Step 6: Final answer
    x = 5,689.44

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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.