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Finding the Fourth Proportional to 4,871.93, 6,723.23 and 2,882.45

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Solution

The fourth proportional to 4,871.93, 6,723.23 and 2,882.45 is: 3,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.93 : 6,723.23 = 2,882.45 : x
  2. Step 2: Convert to fraction form
    4,871.93/6,723.23 = 2,882.45/x
  3. Step 3: Cross multiply
    4,871.93x = 6,723.23 × 2,882.45
  4. Step 4: Simplify right side
    4,871.93x = 19,379,326.29
  5. Step 5: Solve for x
    x = 19,379,326.29/4,871.93
  6. Step 6: Final answer
    x = 3,977.76

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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.