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Finding the Fourth Proportional to 5,429.74, 8,146.92 and 3,676.72

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Solution

The fourth proportional to 5,429.74, 8,146.92 and 3,676.72 is: 5,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.74 : 8,146.92 = 3,676.72 : x
  2. Step 2: Convert to fraction form
    5,429.74/8,146.92 = 3,676.72/x
  3. Step 3: Cross multiply
    5,429.74x = 8,146.92 × 3,676.72
  4. Step 4: Simplify right side
    5,429.74x = 29,953,955.19
  5. Step 5: Solve for x
    x = 29,953,955.19/5,429.74
  6. Step 6: Final answer
    x = 5,516.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.