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Finding the Fourth Proportional to 4,650.24, 6,975.16 and 2,309.36

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Solution

The fourth proportional to 4,650.24, 6,975.16 and 2,309.36 is: 3,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.24 : 6,975.16 = 2,309.36 : x
  2. Step 2: Convert to fraction form
    4,650.24/6,975.16 = 2,309.36/x
  3. Step 3: Cross multiply
    4,650.24x = 6,975.16 × 2,309.36
  4. Step 4: Simplify right side
    4,650.24x = 16,108,155.50
  5. Step 5: Solve for x
    x = 16,108,155.50/4,650.24
  6. Step 6: Final answer
    x = 3,463.94

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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.