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Finding the Fourth Proportional to 3,522.96, 5,273.64 and 3,152.88

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Solution

The fourth proportional to 3,522.96, 5,273.64 and 3,152.88 is: 4,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.96 : 5,273.64 = 3,152.88 : x
  2. Step 2: Convert to fraction form
    3,522.96/5,273.64 = 3,152.88/x
  3. Step 3: Cross multiply
    3,522.96x = 5,273.64 × 3,152.88
  4. Step 4: Simplify right side
    3,522.96x = 16,627,154.08
  5. Step 5: Solve for x
    x = 16,627,154.08/3,522.96
  6. Step 6: Final answer
    x = 4,719.65

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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.