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Finding the Fourth Proportional to 4,782.24, 7,176.24 and 1,703.84

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Solution

The fourth proportional to 4,782.24, 7,176.24 and 1,703.84 is: 2,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.24 : 7,176.24 = 1,703.84 : x
  2. Step 2: Convert to fraction form
    4,782.24/7,176.24 = 1,703.84/x
  3. Step 3: Cross multiply
    4,782.24x = 7,176.24 × 1,703.84
  4. Step 4: Simplify right side
    4,782.24x = 12,227,164.76
  5. Step 5: Solve for x
    x = 12,227,164.76/4,782.24
  6. Step 6: Final answer
    x = 2,556.79

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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.