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Finding the Fourth Proportional to 5,930.71, 8,895.77 and 1,770.76

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Solution

The fourth proportional to 5,930.71, 8,895.77 and 1,770.76 is: 2,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.71 : 8,895.77 = 1,770.76 : x
  2. Step 2: Convert to fraction form
    5,930.71/8,895.77 = 1,770.76/x
  3. Step 3: Cross multiply
    5,930.71x = 8,895.77 × 1,770.76
  4. Step 4: Simplify right side
    5,930.71x = 15,752,227.57
  5. Step 5: Solve for x
    x = 15,752,227.57/5,930.71
  6. Step 6: Final answer
    x = 2,656.04

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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.