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Finding the Fourth Proportional to 3,129.04, 4,692.24 and 938.08

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Solution

The fourth proportional to 3,129.04, 4,692.24 and 938.08 is: 1,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.04 : 4,692.24 = 938.08 : x
  2. Step 2: Convert to fraction form
    3,129.04/4,692.24 = 938.08/x
  3. Step 3: Cross multiply
    3,129.04x = 4,692.24 × 938.08
  4. Step 4: Simplify right side
    3,129.04x = 4,401,696.50
  5. Step 5: Solve for x
    x = 4,401,696.50/3,129.04
  6. Step 6: Final answer
    x = 1,406.72

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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.