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Finding the Fourth Proportional to 3,674.64, 5,512.12 and 1,077.58

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Solution

The fourth proportional to 3,674.64, 5,512.12 and 1,077.58 is: 1,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.64 : 5,512.12 = 1,077.58 : x
  2. Step 2: Convert to fraction form
    3,674.64/5,512.12 = 1,077.58/x
  3. Step 3: Cross multiply
    3,674.64x = 5,512.12 × 1,077.58
  4. Step 4: Simplify right side
    3,674.64x = 5,939,750.27
  5. Step 5: Solve for x
    x = 5,939,750.27/3,674.64
  6. Step 6: Final answer
    x = 1,616.42

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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.