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Finding the Fourth Proportional to 4,546.19, 6,269.01 and 3,600.47

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Solution

The fourth proportional to 4,546.19, 6,269.01 and 3,600.47 is: 4,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.19 : 6,269.01 = 3,600.47 : x
  2. Step 2: Convert to fraction form
    4,546.19/6,269.01 = 3,600.47/x
  3. Step 3: Cross multiply
    4,546.19x = 6,269.01 × 3,600.47
  4. Step 4: Simplify right side
    4,546.19x = 22,571,382.43
  5. Step 5: Solve for x
    x = 22,571,382.43/4,546.19
  6. Step 6: Final answer
    x = 4,964.90

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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.