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Finding the Fourth Proportional to 7,029.82, 9,701.16 and 3,886

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Solution

The fourth proportional to 7,029.82, 9,701.16 and 3,886 is: 5,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.82 : 9,701.16 = 3,886 : x
  2. Step 2: Convert to fraction form
    7,029.82/9,701.16 = 3,886/x
  3. Step 3: Cross multiply
    7,029.82x = 9,701.16 × 3,886
  4. Step 4: Simplify right side
    7,029.82x = 37,698,707.76
  5. Step 5: Solve for x
    x = 37,698,707.76/7,029.82
  6. Step 6: Final answer
    x = 5,362.68

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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.