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Finding the Fourth Proportional to 4,929.12, 6,850.44 and 4,877.28

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Solution

The fourth proportional to 4,929.12, 6,850.44 and 4,877.28 is: 6,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.12 : 6,850.44 = 4,877.28 : x
  2. Step 2: Convert to fraction form
    4,929.12/6,850.44 = 4,877.28/x
  3. Step 3: Cross multiply
    4,929.12x = 6,850.44 × 4,877.28
  4. Step 4: Simplify right side
    4,929.12x = 33,411,514.00
  5. Step 5: Solve for x
    x = 33,411,514.00/4,929.12
  6. Step 6: Final answer
    x = 6,778.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.