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Finding the Fourth Proportional to 5,537.40, 8,315.70 and 3,905.40

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Solution

The fourth proportional to 5,537.40, 8,315.70 and 3,905.40 is: 5,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.40 : 8,315.70 = 3,905.40 : x
  2. Step 2: Convert to fraction form
    5,537.40/8,315.70 = 3,905.40/x
  3. Step 3: Cross multiply
    5,537.40x = 8,315.70 × 3,905.40
  4. Step 4: Simplify right side
    5,537.40x = 32,476,134.78
  5. Step 5: Solve for x
    x = 32,476,134.78/5,537.40
  6. Step 6: Final answer
    x = 5,864.87

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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.