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Finding the Fourth Proportional to 3,504.59, 5,256.88 and 1,164.78

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Solution

The fourth proportional to 3,504.59, 5,256.88 and 1,164.78 is: 1,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.59 : 5,256.88 = 1,164.78 : x
  2. Step 2: Convert to fraction form
    3,504.59/5,256.88 = 1,164.78/x
  3. Step 3: Cross multiply
    3,504.59x = 5,256.88 × 1,164.78
  4. Step 4: Simplify right side
    3,504.59x = 6,123,102.86
  5. Step 5: Solve for x
    x = 6,123,102.86/3,504.59
  6. Step 6: Final answer
    x = 1,747.17

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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.