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Finding the Fourth Proportional to 6,582.47, 9,078.68 and 3,929.31

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Solution

The fourth proportional to 6,582.47, 9,078.68 and 3,929.31 is: 5,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.47 : 9,078.68 = 3,929.31 : x
  2. Step 2: Convert to fraction form
    6,582.47/9,078.68 = 3,929.31/x
  3. Step 3: Cross multiply
    6,582.47x = 9,078.68 × 3,929.31
  4. Step 4: Simplify right side
    6,582.47x = 35,672,957.93
  5. Step 5: Solve for x
    x = 35,672,957.93/6,582.47
  6. Step 6: Final answer
    x = 5,419.39

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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.