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Finding the Fourth Proportional to 5,154.58, 7,731.01 and 1,455.96

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Solution

The fourth proportional to 5,154.58, 7,731.01 and 1,455.96 is: 2,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.58 : 7,731.01 = 1,455.96 : x
  2. Step 2: Convert to fraction form
    5,154.58/7,731.01 = 1,455.96/x
  3. Step 3: Cross multiply
    5,154.58x = 7,731.01 × 1,455.96
  4. Step 4: Simplify right side
    5,154.58x = 11,256,034.04
  5. Step 5: Solve for x
    x = 11,256,034.04/5,154.58
  6. Step 6: Final answer
    x = 2,183.70

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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.