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Finding the Fourth Proportional to 4,706.88, 6,495.70 and 2,611

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Solution

The fourth proportional to 4,706.88, 6,495.70 and 2,611 is: 3,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.88 : 6,495.70 = 2,611 : x
  2. Step 2: Convert to fraction form
    4,706.88/6,495.70 = 2,611/x
  3. Step 3: Cross multiply
    4,706.88x = 6,495.70 × 2,611
  4. Step 4: Simplify right side
    4,706.88x = 16,960,272.70
  5. Step 5: Solve for x
    x = 16,960,272.70/4,706.88
  6. Step 6: Final answer
    x = 3,603.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.