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Finding the Fourth Proportional to 3,460.96, 5,164.65 and 3,091.78

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Solution

The fourth proportional to 3,460.96, 5,164.65 and 3,091.78 is: 4,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.96 : 5,164.65 = 3,091.78 : x
  2. Step 2: Convert to fraction form
    3,460.96/5,164.65 = 3,091.78/x
  3. Step 3: Cross multiply
    3,460.96x = 5,164.65 × 3,091.78
  4. Step 4: Simplify right side
    3,460.96x = 15,967,961.58
  5. Step 5: Solve for x
    x = 15,967,961.58/3,460.96
  6. Step 6: Final answer
    x = 4,613.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.