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Finding the Fourth Proportional to 3,476.64, 5,211.12 and 1,525.92

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Solution

The fourth proportional to 3,476.64, 5,211.12 and 1,525.92 is: 2,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.64 : 5,211.12 = 1,525.92 : x
  2. Step 2: Convert to fraction form
    3,476.64/5,211.12 = 1,525.92/x
  3. Step 3: Cross multiply
    3,476.64x = 5,211.12 × 1,525.92
  4. Step 4: Simplify right side
    3,476.64x = 7,951,752.23
  5. Step 5: Solve for x
    x = 7,951,752.23/3,476.64
  6. Step 6: Final answer
    x = 2,287.19

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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.