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Finding the Fourth Proportional to 3,648.35, 5,033.86 and 2,706.32

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Solution

The fourth proportional to 3,648.35, 5,033.86 and 2,706.32 is: 3,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.35 : 5,033.86 = 2,706.32 : x
  2. Step 2: Convert to fraction form
    3,648.35/5,033.86 = 2,706.32/x
  3. Step 3: Cross multiply
    3,648.35x = 5,033.86 × 2,706.32
  4. Step 4: Simplify right side
    3,648.35x = 13,623,204.06
  5. Step 5: Solve for x
    x = 13,623,204.06/3,648.35
  6. Step 6: Final answer
    x = 3,734.08

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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.