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Finding the Fourth Proportional to 6,530.88, 9,788.82 and 2,829.39

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Solution

The fourth proportional to 6,530.88, 9,788.82 and 2,829.39 is: 4,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.88 : 9,788.82 = 2,829.39 : x
  2. Step 2: Convert to fraction form
    6,530.88/9,788.82 = 2,829.39/x
  3. Step 3: Cross multiply
    6,530.88x = 9,788.82 × 2,829.39
  4. Step 4: Simplify right side
    6,530.88x = 27,696,389.42
  5. Step 5: Solve for x
    x = 27,696,389.42/6,530.88
  6. Step 6: Final answer
    x = 4,240.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.