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Finding the Fourth Proportional to 3,755.40, 5,616.70 and 3,066.50

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Solution

The fourth proportional to 3,755.40, 5,616.70 and 3,066.50 is: 4,586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.40 : 5,616.70 = 3,066.50 : x
  2. Step 2: Convert to fraction form
    3,755.40/5,616.70 = 3,066.50/x
  3. Step 3: Cross multiply
    3,755.40x = 5,616.70 × 3,066.50
  4. Step 4: Simplify right side
    3,755.40x = 17,223,610.55
  5. Step 5: Solve for x
    x = 17,223,610.55/3,755.40
  6. Step 6: Final answer
    x = 4,586.36

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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.