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Finding the Fourth Proportional to 5,124.06, 7,071.30 and 3,027.78

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Solution

The fourth proportional to 5,124.06, 7,071.30 and 3,027.78 is: 4,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.06 : 7,071.30 = 3,027.78 : x
  2. Step 2: Convert to fraction form
    5,124.06/7,071.30 = 3,027.78/x
  3. Step 3: Cross multiply
    5,124.06x = 7,071.30 × 3,027.78
  4. Step 4: Simplify right side
    5,124.06x = 21,410,340.71
  5. Step 5: Solve for x
    x = 21,410,340.71/5,124.06
  6. Step 6: Final answer
    x = 4,178.39

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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.