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Finding the Fourth Proportional to 4,630.16, 6,945.20 and 1,857.52

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Solution

The fourth proportional to 4,630.16, 6,945.20 and 1,857.52 is: 2,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.16 : 6,945.20 = 1,857.52 : x
  2. Step 2: Convert to fraction form
    4,630.16/6,945.20 = 1,857.52/x
  3. Step 3: Cross multiply
    4,630.16x = 6,945.20 × 1,857.52
  4. Step 4: Simplify right side
    4,630.16x = 12,900,847.90
  5. Step 5: Solve for x
    x = 12,900,847.90/4,630.16
  6. Step 6: Final answer
    x = 2,786.26

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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.