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Finding the Fourth Proportional to 4,743.57, 6,546.12 and 2,647.70

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Solution

The fourth proportional to 4,743.57, 6,546.12 and 2,647.70 is: 3,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.57 : 6,546.12 = 2,647.70 : x
  2. Step 2: Convert to fraction form
    4,743.57/6,546.12 = 2,647.70/x
  3. Step 3: Cross multiply
    4,743.57x = 6,546.12 × 2,647.70
  4. Step 4: Simplify right side
    4,743.57x = 17,332,129.19
  5. Step 5: Solve for x
    x = 17,332,129.19/4,743.57
  6. Step 6: Final answer
    x = 3,653.82

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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.