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Finding the Fourth Proportional to 4,638.66, 6,957.44 and 1,865.22

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Solution

The fourth proportional to 4,638.66, 6,957.44 and 1,865.22 is: 2,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.66 : 6,957.44 = 1,865.22 : x
  2. Step 2: Convert to fraction form
    4,638.66/6,957.44 = 1,865.22/x
  3. Step 3: Cross multiply
    4,638.66x = 6,957.44 × 1,865.22
  4. Step 4: Simplify right side
    4,638.66x = 12,977,156.24
  5. Step 5: Solve for x
    x = 12,977,156.24/4,638.66
  6. Step 6: Final answer
    x = 2,797.61

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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.