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Finding the Fourth Proportional to 4,868.28, 7,305.30 and 1,792.44

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Solution

The fourth proportional to 4,868.28, 7,305.30 and 1,792.44 is: 2,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.28 : 7,305.30 = 1,792.44 : x
  2. Step 2: Convert to fraction form
    4,868.28/7,305.30 = 1,792.44/x
  3. Step 3: Cross multiply
    4,868.28x = 7,305.30 × 1,792.44
  4. Step 4: Simplify right side
    4,868.28x = 13,094,311.93
  5. Step 5: Solve for x
    x = 13,094,311.93/4,868.28
  6. Step 6: Final answer
    x = 2,689.72

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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.