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Finding the Fourth Proportional to 4,296.78, 5,927.43 and 2,705.40

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Solution

The fourth proportional to 4,296.78, 5,927.43 and 2,705.40 is: 3,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.78 : 5,927.43 = 2,705.40 : x
  2. Step 2: Convert to fraction form
    4,296.78/5,927.43 = 2,705.40/x
  3. Step 3: Cross multiply
    4,296.78x = 5,927.43 × 2,705.40
  4. Step 4: Simplify right side
    4,296.78x = 16,036,069.12
  5. Step 5: Solve for x
    x = 16,036,069.12/4,296.78
  6. Step 6: Final answer
    x = 3,732.11

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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.