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Finding the Fourth Proportional to 4,837.70, 6,677.40 and 2,849.40

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Solution

The fourth proportional to 4,837.70, 6,677.40 and 2,849.40 is: 3,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837.70 : 6,677.40 = 2,849.40 : x
  2. Step 2: Convert to fraction form
    4,837.70/6,677.40 = 2,849.40/x
  3. Step 3: Cross multiply
    4,837.70x = 6,677.40 × 2,849.40
  4. Step 4: Simplify right side
    4,837.70x = 19,026,590.68
  5. Step 5: Solve for x
    x = 19,026,590.68/4,837.70
  6. Step 6: Final answer
    x = 3,932.98

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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.