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Finding the Fourth Proportional to 5,852.53, 8,077.17 and 3,335.09

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Solution

The fourth proportional to 5,852.53, 8,077.17 and 3,335.09 is: 4,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.53 : 8,077.17 = 3,335.09 : x
  2. Step 2: Convert to fraction form
    5,852.53/8,077.17 = 3,335.09/x
  3. Step 3: Cross multiply
    5,852.53x = 8,077.17 × 3,335.09
  4. Step 4: Simplify right side
    5,852.53x = 26,938,072.22
  5. Step 5: Solve for x
    x = 26,938,072.22/5,852.53
  6. Step 6: Final answer
    x = 4,602.81

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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.