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Finding the Fourth Proportional to 5,705.47, 7,872.82 and 3,346.75

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Solution

The fourth proportional to 5,705.47, 7,872.82 and 3,346.75 is: 4,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.47 : 7,872.82 = 3,346.75 : x
  2. Step 2: Convert to fraction form
    5,705.47/7,872.82 = 3,346.75/x
  3. Step 3: Cross multiply
    5,705.47x = 7,872.82 × 3,346.75
  4. Step 4: Simplify right side
    5,705.47x = 26,348,360.34
  5. Step 5: Solve for x
    x = 26,348,360.34/5,705.47
  6. Step 6: Final answer
    x = 4,618.09

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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.