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Finding the Fourth Proportional to 5,046.89, 7,572.42 and 2,706.26

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Solution

The fourth proportional to 5,046.89, 7,572.42 and 2,706.26 is: 4,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.89 : 7,572.42 = 2,706.26 : x
  2. Step 2: Convert to fraction form
    5,046.89/7,572.42 = 2,706.26/x
  3. Step 3: Cross multiply
    5,046.89x = 7,572.42 × 2,706.26
  4. Step 4: Simplify right side
    5,046.89x = 20,492,899.49
  5. Step 5: Solve for x
    x = 20,492,899.49/5,046.89
  6. Step 6: Final answer
    x = 4,060.50

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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.