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Finding the Fourth Proportional to 3,650.27, 5,037.26 and 2,056.86

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Solution

The fourth proportional to 3,650.27, 5,037.26 and 2,056.86 is: 2,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.27 : 5,037.26 = 2,056.86 : x
  2. Step 2: Convert to fraction form
    3,650.27/5,037.26 = 2,056.86/x
  3. Step 3: Cross multiply
    3,650.27x = 5,037.26 × 2,056.86
  4. Step 4: Simplify right side
    3,650.27x = 10,360,928.32
  5. Step 5: Solve for x
    x = 10,360,928.32/3,650.27
  6. Step 6: Final answer
    x = 2,838.40

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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.