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Finding the Fourth Proportional to 8,692.26, 13,038.26 and 3,498

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Solution

The fourth proportional to 8,692.26, 13,038.26 and 3,498 is: 5,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.26 : 13,038.26 = 3,498 : x
  2. Step 2: Convert to fraction form
    8,692.26/13,038.26 = 3,498/x
  3. Step 3: Cross multiply
    8,692.26x = 13,038.26 × 3,498
  4. Step 4: Simplify right side
    8,692.26x = 45,607,815.99
  5. Step 5: Solve for x
    x = 45,607,815.99/8,692.26
  6. Step 6: Final answer
    x = 5,246.95

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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.