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Finding the Fourth Proportional to 4,200.54, 5,795.39 and 2,705.82

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Solution

The fourth proportional to 4,200.54, 5,795.39 and 2,705.82 is: 3,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.54 : 5,795.39 = 2,705.82 : x
  2. Step 2: Convert to fraction form
    4,200.54/5,795.39 = 2,705.82/x
  3. Step 3: Cross multiply
    4,200.54x = 5,795.39 × 2,705.82
  4. Step 4: Simplify right side
    4,200.54x = 15,681,282.17
  5. Step 5: Solve for x
    x = 15,681,282.17/4,200.54
  6. Step 6: Final answer
    x = 3,733.16

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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.