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Finding the Fourth Proportional to 3,776.63, 5,671.34 and 2,462.63

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Solution

The fourth proportional to 3,776.63, 5,671.34 and 2,462.63 is: 3,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.63 : 5,671.34 = 2,462.63 : x
  2. Step 2: Convert to fraction form
    3,776.63/5,671.34 = 2,462.63/x
  3. Step 3: Cross multiply
    3,776.63x = 5,671.34 × 2,462.63
  4. Step 4: Simplify right side
    3,776.63x = 13,966,412.02
  5. Step 5: Solve for x
    x = 13,966,412.02/3,776.63
  6. Step 6: Final answer
    x = 3,698.11

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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.