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Finding the Fourth Proportional to 3,514.94, 5,272.71 and 917.88

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Solution

The fourth proportional to 3,514.94, 5,272.71 and 917.88 is: 1,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.94 : 5,272.71 = 917.88 : x
  2. Step 2: Convert to fraction form
    3,514.94/5,272.71 = 917.88/x
  3. Step 3: Cross multiply
    3,514.94x = 5,272.71 × 917.88
  4. Step 4: Simplify right side
    3,514.94x = 4,839,715.05
  5. Step 5: Solve for x
    x = 4,839,715.05/3,514.94
  6. Step 6: Final answer
    x = 1,376.90

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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.