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Finding the Fourth Proportional to 5,930.42, 8,897.31 and 1,770.59

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Solution

The fourth proportional to 5,930.42, 8,897.31 and 1,770.59 is: 2,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.42 : 8,897.31 = 1,770.59 : x
  2. Step 2: Convert to fraction form
    5,930.42/8,897.31 = 1,770.59/x
  3. Step 3: Cross multiply
    5,930.42x = 8,897.31 × 1,770.59
  4. Step 4: Simplify right side
    5,930.42x = 15,753,510.36
  5. Step 5: Solve for x
    x = 15,753,510.36/5,930.42
  6. Step 6: Final answer
    x = 2,656.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.