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Finding the Fourth Proportional to 3,474.64, 5,214.12 and 1,528.48

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Solution

The fourth proportional to 3,474.64, 5,214.12 and 1,528.48 is: 2,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.64 : 5,214.12 = 1,528.48 : x
  2. Step 2: Convert to fraction form
    3,474.64/5,214.12 = 1,528.48/x
  3. Step 3: Cross multiply
    3,474.64x = 5,214.12 × 1,528.48
  4. Step 4: Simplify right side
    3,474.64x = 7,969,678.14
  5. Step 5: Solve for x
    x = 7,969,678.14/3,474.64
  6. Step 6: Final answer
    x = 2,293.67

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1.5x scale

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.