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Finding the Fourth Proportional to 4,763.86, 7,147.24 and 2,298.22

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Solution

The fourth proportional to 4,763.86, 7,147.24 and 2,298.22 is: 3,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.86 : 7,147.24 = 2,298.22 : x
  2. Step 2: Convert to fraction form
    4,763.86/7,147.24 = 2,298.22/x
  3. Step 3: Cross multiply
    4,763.86x = 7,147.24 × 2,298.22
  4. Step 4: Simplify right side
    4,763.86x = 16,425,946.50
  5. Step 5: Solve for x
    x = 16,425,946.50/4,763.86
  6. Step 6: Final answer
    x = 3,448.03

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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.