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Finding the Fourth Proportional to 3,751.24, 5,627.70 and 1,530.64

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Solution

The fourth proportional to 3,751.24, 5,627.70 and 1,530.64 is: 2,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.24 : 5,627.70 = 1,530.64 : x
  2. Step 2: Convert to fraction form
    3,751.24/5,627.70 = 1,530.64/x
  3. Step 3: Cross multiply
    3,751.24x = 5,627.70 × 1,530.64
  4. Step 4: Simplify right side
    3,751.24x = 8,613,982.73
  5. Step 5: Solve for x
    x = 8,613,982.73/3,751.24
  6. Step 6: Final answer
    x = 2,296.30

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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.