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Finding the Fourth Proportional to 5,101.76, 7,042.20 and 3,005.76

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Solution

The fourth proportional to 5,101.76, 7,042.20 and 3,005.76 is: 4,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.76 : 7,042.20 = 3,005.76 : x
  2. Step 2: Convert to fraction form
    5,101.76/7,042.20 = 3,005.76/x
  3. Step 3: Cross multiply
    5,101.76x = 7,042.20 × 3,005.76
  4. Step 4: Simplify right side
    5,101.76x = 21,167,163.07
  5. Step 5: Solve for x
    x = 21,167,163.07/5,101.76
  6. Step 6: Final answer
    x = 4,148.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.