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Finding the Fourth Proportional to 5,611.71, 7,740.68 and 4,491.39

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Solution

The fourth proportional to 5,611.71, 7,740.68 and 4,491.39 is: 6,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.71 : 7,740.68 = 4,491.39 : x
  2. Step 2: Convert to fraction form
    5,611.71/7,740.68 = 4,491.39/x
  3. Step 3: Cross multiply
    5,611.71x = 7,740.68 × 4,491.39
  4. Step 4: Simplify right side
    5,611.71x = 34,766,390.29
  5. Step 5: Solve for x
    x = 34,766,390.29/5,611.71
  6. Step 6: Final answer
    x = 6,195.33

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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.