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Finding the Fourth Proportional to 4,692.28, 7,031.84 and 3,647.50

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Solution

The fourth proportional to 4,692.28, 7,031.84 and 3,647.50 is: 5,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.28 : 7,031.84 = 3,647.50 : x
  2. Step 2: Convert to fraction form
    4,692.28/7,031.84 = 3,647.50/x
  3. Step 3: Cross multiply
    4,692.28x = 7,031.84 × 3,647.50
  4. Step 4: Simplify right side
    4,692.28x = 25,648,636.40
  5. Step 5: Solve for x
    x = 25,648,636.40/4,692.28
  6. Step 6: Final answer
    x = 5,466.14

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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.