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Finding the Fourth Proportional to 3,507.50, 5,234.06 and 3,040.94

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Solution

The fourth proportional to 3,507.50, 5,234.06 and 3,040.94 is: 4,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.50 : 5,234.06 = 3,040.94 : x
  2. Step 2: Convert to fraction form
    3,507.50/5,234.06 = 3,040.94/x
  3. Step 3: Cross multiply
    3,507.50x = 5,234.06 × 3,040.94
  4. Step 4: Simplify right side
    3,507.50x = 15,916,462.42
  5. Step 5: Solve for x
    x = 15,916,462.42/3,507.50
  6. Step 6: Final answer
    x = 4,537.84

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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.