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Finding the Fourth Proportional to 3,126.66, 4,692.06 and 2,876.40

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Solution

The fourth proportional to 3,126.66, 4,692.06 and 2,876.40 is: 4,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.66 : 4,692.06 = 2,876.40 : x
  2. Step 2: Convert to fraction form
    3,126.66/4,692.06 = 2,876.40/x
  3. Step 3: Cross multiply
    3,126.66x = 4,692.06 × 2,876.40
  4. Step 4: Simplify right side
    3,126.66x = 13,496,241.38
  5. Step 5: Solve for x
    x = 13,496,241.38/3,126.66
  6. Step 6: Final answer
    x = 4,316.50

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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.