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Finding the Fourth Proportional to 3,506.81, 5,234.51 and 3,091.59

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Solution

The fourth proportional to 3,506.81, 5,234.51 and 3,091.59 is: 4,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.81 : 5,234.51 = 3,091.59 : x
  2. Step 2: Convert to fraction form
    3,506.81/5,234.51 = 3,091.59/x
  3. Step 3: Cross multiply
    3,506.81x = 5,234.51 × 3,091.59
  4. Step 4: Simplify right side
    3,506.81x = 16,182,966.50
  5. Step 5: Solve for x
    x = 16,182,966.50/3,506.81
  6. Step 6: Final answer
    x = 4,614.73

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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.