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Finding the Fourth Proportional to 4,676.86, 7,019.52 and 4,182.52

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Solution

The fourth proportional to 4,676.86, 7,019.52 and 4,182.52 is: 6,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.86 : 7,019.52 = 4,182.52 : x
  2. Step 2: Convert to fraction form
    4,676.86/7,019.52 = 4,182.52/x
  3. Step 3: Cross multiply
    4,676.86x = 7,019.52 × 4,182.52
  4. Step 4: Simplify right side
    4,676.86x = 29,359,282.79
  5. Step 5: Solve for x
    x = 29,359,282.79/4,676.86
  6. Step 6: Final answer
    x = 6,277.56

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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.