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Finding the Fourth Proportional to 4,650.27, 6,976.43 and 1,530.15

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Solution

The fourth proportional to 4,650.27, 6,976.43 and 1,530.15 is: 2,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.27 : 6,976.43 = 1,530.15 : x
  2. Step 2: Convert to fraction form
    4,650.27/6,976.43 = 1,530.15/x
  3. Step 3: Cross multiply
    4,650.27x = 6,976.43 × 1,530.15
  4. Step 4: Simplify right side
    4,650.27x = 10,674,984.36
  5. Step 5: Solve for x
    x = 10,674,984.36/4,650.27
  6. Step 6: Final answer
    x = 2,295.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.