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Finding the Fourth Proportional to 4,753, 7,130.46 and 2,017

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Solution

The fourth proportional to 4,753, 7,130.46 and 2,017 is: 3,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753 : 7,130.46 = 2,017 : x
  2. Step 2: Convert to fraction form
    4,753/7,130.46 = 2,017/x
  3. Step 3: Cross multiply
    4,753x = 7,130.46 × 2,017
  4. Step 4: Simplify right side
    4,753x = 14,382,137.82
  5. Step 5: Solve for x
    x = 14,382,137.82/4,753
  6. Step 6: Final answer
    x = 3,025.91

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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.