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Finding the Fourth Proportional to 5,931.38, 8,894.33 and 1,770.31

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Solution

The fourth proportional to 5,931.38, 8,894.33 and 1,770.31 is: 2,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.38 : 8,894.33 = 1,770.31 : x
  2. Step 2: Convert to fraction form
    5,931.38/8,894.33 = 1,770.31/x
  3. Step 3: Cross multiply
    5,931.38x = 8,894.33 × 1,770.31
  4. Step 4: Simplify right side
    5,931.38x = 15,745,721.34
  5. Step 5: Solve for x
    x = 15,745,721.34/5,931.38
  6. Step 6: Final answer
    x = 2,654.65

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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.