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Finding the Fourth Proportional to 4,887.66, 6,740.82 and 3,021.42

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Solution

The fourth proportional to 4,887.66, 6,740.82 and 3,021.42 is: 4,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.66 : 6,740.82 = 3,021.42 : x
  2. Step 2: Convert to fraction form
    4,887.66/6,740.82 = 3,021.42/x
  3. Step 3: Cross multiply
    4,887.66x = 6,740.82 × 3,021.42
  4. Step 4: Simplify right side
    4,887.66x = 20,366,848.36
  5. Step 5: Solve for x
    x = 20,366,848.36/4,887.66
  6. Step 6: Final answer
    x = 4,166.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.