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Finding the Fourth Proportional to 4,546.54, 6,779.18 and 4,537.66

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Solution

The fourth proportional to 4,546.54, 6,779.18 and 4,537.66 is: 6,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.54 : 6,779.18 = 4,537.66 : x
  2. Step 2: Convert to fraction form
    4,546.54/6,779.18 = 4,537.66/x
  3. Step 3: Cross multiply
    4,546.54x = 6,779.18 × 4,537.66
  4. Step 4: Simplify right side
    4,546.54x = 30,761,613.92
  5. Step 5: Solve for x
    x = 30,761,613.92/4,546.54
  6. Step 6: Final answer
    x = 6,765.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.