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Finding the Fourth Proportional to 3,725.24, 5,590.74 and 2,627.24

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Solution

The fourth proportional to 3,725.24, 5,590.74 and 2,627.24 is: 3,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.24 : 5,590.74 = 2,627.24 : x
  2. Step 2: Convert to fraction form
    3,725.24/5,590.74 = 2,627.24/x
  3. Step 3: Cross multiply
    3,725.24x = 5,590.74 × 2,627.24
  4. Step 4: Simplify right side
    3,725.24x = 14,688,215.76
  5. Step 5: Solve for x
    x = 14,688,215.76/3,725.24
  6. Step 6: Final answer
    x = 3,942.89

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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.