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Finding the Fourth Proportional to 4,764.50, 7,148.91 and 2,298.86

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Solution

The fourth proportional to 4,764.50, 7,148.91 and 2,298.86 is: 3,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.50 : 7,148.91 = 2,298.86 : x
  2. Step 2: Convert to fraction form
    4,764.50/7,148.91 = 2,298.86/x
  3. Step 3: Cross multiply
    4,764.50x = 7,148.91 × 2,298.86
  4. Step 4: Simplify right side
    4,764.50x = 16,434,343.24
  5. Step 5: Solve for x
    x = 16,434,343.24/4,764.50
  6. Step 6: Final answer
    x = 3,449.33

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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.