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Finding the Fourth Proportional to 3,751.74, 5,627.60 and 1,154.67

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Solution

The fourth proportional to 3,751.74, 5,627.60 and 1,154.67 is: 1,732.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.74 : 5,627.60 = 1,154.67 : x
  2. Step 2: Convert to fraction form
    3,751.74/5,627.60 = 1,154.67/x
  3. Step 3: Cross multiply
    3,751.74x = 5,627.60 × 1,154.67
  4. Step 4: Simplify right side
    3,751.74x = 6,498,015.12
  5. Step 5: Solve for x
    x = 6,498,015.12/3,751.74
  6. Step 6: Final answer
    x = 1,732.00

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Why These Related Problems?

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