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Finding the Fourth Proportional to 3,576.62, 4,923.80 and 3,077.24

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Solution

The fourth proportional to 3,576.62, 4,923.80 and 3,077.24 is: 4,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.62 : 4,923.80 = 3,077.24 : x
  2. Step 2: Convert to fraction form
    3,576.62/4,923.80 = 3,077.24/x
  3. Step 3: Cross multiply
    3,576.62x = 4,923.80 × 3,077.24
  4. Step 4: Simplify right side
    3,576.62x = 15,151,714.31
  5. Step 5: Solve for x
    x = 15,151,714.31/3,576.62
  6. Step 6: Final answer
    x = 4,236.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.