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Finding the Fourth Proportional to 4,713.10, 7,066 and 2,735.70

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Solution

The fourth proportional to 4,713.10, 7,066 and 2,735.70 is: 4,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.10 : 7,066 = 2,735.70 : x
  2. Step 2: Convert to fraction form
    4,713.10/7,066 = 2,735.70/x
  3. Step 3: Cross multiply
    4,713.10x = 7,066 × 2,735.70
  4. Step 4: Simplify right side
    4,713.10x = 19,330,456.20
  5. Step 5: Solve for x
    x = 19,330,456.20/4,713.10
  6. Step 6: Final answer
    x = 4,101.43

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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.