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Finding the Fourth Proportional to 5,137.32, 7,710.84 and 2,673.84

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Solution

The fourth proportional to 5,137.32, 7,710.84 and 2,673.84 is: 4,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.32 : 7,710.84 = 2,673.84 : x
  2. Step 2: Convert to fraction form
    5,137.32/7,710.84 = 2,673.84/x
  3. Step 3: Cross multiply
    5,137.32x = 7,710.84 × 2,673.84
  4. Step 4: Simplify right side
    5,137.32x = 20,617,552.43
  5. Step 5: Solve for x
    x = 20,617,552.43/5,137.32
  6. Step 6: Final answer
    x = 4,013.29

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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.