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Finding the Fourth Proportional to 3,310.06, 4,534.84 and 3,185.52

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Solution

The fourth proportional to 3,310.06, 4,534.84 and 3,185.52 is: 4,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.06 : 4,534.84 = 3,185.52 : x
  2. Step 2: Convert to fraction form
    3,310.06/4,534.84 = 3,185.52/x
  3. Step 3: Cross multiply
    3,310.06x = 4,534.84 × 3,185.52
  4. Step 4: Simplify right side
    3,310.06x = 14,445,823.52
  5. Step 5: Solve for x
    x = 14,445,823.52/3,310.06
  6. Step 6: Final answer
    x = 4,364.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.