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Finding the Fourth Proportional to 4,786.14, 7,182.52 and 1,864.46

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Solution

The fourth proportional to 4,786.14, 7,182.52 and 1,864.46 is: 2,797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.14 : 7,182.52 = 1,864.46 : x
  2. Step 2: Convert to fraction form
    4,786.14/7,182.52 = 1,864.46/x
  3. Step 3: Cross multiply
    4,786.14x = 7,182.52 × 1,864.46
  4. Step 4: Simplify right side
    4,786.14x = 13,391,521.24
  5. Step 5: Solve for x
    x = 13,391,521.24/4,786.14
  6. Step 6: Final answer
    x = 2,797.98

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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.