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Finding the Fourth Proportional to 7,029.60, 9,701.49 and 3,886.38

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Solution

The fourth proportional to 7,029.60, 9,701.49 and 3,886.38 is: 5,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.60 : 9,701.49 = 3,886.38 : x
  2. Step 2: Convert to fraction form
    7,029.60/9,701.49 = 3,886.38/x
  3. Step 3: Cross multiply
    7,029.60x = 9,701.49 × 3,886.38
  4. Step 4: Simplify right side
    7,029.60x = 37,703,676.71
  5. Step 5: Solve for x
    x = 37,703,676.71/7,029.60
  6. Step 6: Final answer
    x = 5,363.56

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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.