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Finding the Fourth Proportional to 4,788.56, 7,182.84 and 1,456.82

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Solution

The fourth proportional to 4,788.56, 7,182.84 and 1,456.82 is: 2,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.56 : 7,182.84 = 1,456.82 : x
  2. Step 2: Convert to fraction form
    4,788.56/7,182.84 = 1,456.82/x
  3. Step 3: Cross multiply
    4,788.56x = 7,182.84 × 1,456.82
  4. Step 4: Simplify right side
    4,788.56x = 10,464,069.05
  5. Step 5: Solve for x
    x = 10,464,069.05/4,788.56
  6. Step 6: Final answer
    x = 2,185.22

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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.