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Finding the Fourth Proportional to 5,137.96, 7,706.94 and 2,948.08

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Solution

The fourth proportional to 5,137.96, 7,706.94 and 2,948.08 is: 4,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.96 : 7,706.94 = 2,948.08 : x
  2. Step 2: Convert to fraction form
    5,137.96/7,706.94 = 2,948.08/x
  3. Step 3: Cross multiply
    5,137.96x = 7,706.94 × 2,948.08
  4. Step 4: Simplify right side
    5,137.96x = 22,720,675.68
  5. Step 5: Solve for x
    x = 22,720,675.68/5,137.96
  6. Step 6: Final answer
    x = 4,422.12

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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.