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Finding the Fourth Proportional to 3,657.96, 5,037.12 and 3,576.24

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Solution

The fourth proportional to 3,657.96, 5,037.12 and 3,576.24 is: 4,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.96 : 5,037.12 = 3,576.24 : x
  2. Step 2: Convert to fraction form
    3,657.96/5,037.12 = 3,576.24/x
  3. Step 3: Cross multiply
    3,657.96x = 5,037.12 × 3,576.24
  4. Step 4: Simplify right side
    3,657.96x = 18,013,950.03
  5. Step 5: Solve for x
    x = 18,013,950.03/3,657.96
  6. Step 6: Final answer
    x = 4,924.59

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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.