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Finding the Fourth Proportional to 5,715.90, 8,584.41 and 3,421.50

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Solution

The fourth proportional to 5,715.90, 8,584.41 and 3,421.50 is: 5,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.90 : 8,584.41 = 3,421.50 : x
  2. Step 2: Convert to fraction form
    5,715.90/8,584.41 = 3,421.50/x
  3. Step 3: Cross multiply
    5,715.90x = 8,584.41 × 3,421.50
  4. Step 4: Simplify right side
    5,715.90x = 29,371,558.82
  5. Step 5: Solve for x
    x = 29,371,558.82/5,715.90
  6. Step 6: Final answer
    x = 5,138.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.