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Finding the Fourth Proportional to 3,292.32, 4,546.02 and 2,035.20

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Solution

The fourth proportional to 3,292.32, 4,546.02 and 2,035.20 is: 2,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.32 : 4,546.02 = 2,035.20 : x
  2. Step 2: Convert to fraction form
    3,292.32/4,546.02 = 2,035.20/x
  3. Step 3: Cross multiply
    3,292.32x = 4,546.02 × 2,035.20
  4. Step 4: Simplify right side
    3,292.32x = 9,252,059.90
  5. Step 5: Solve for x
    x = 9,252,059.90/3,292.32
  6. Step 6: Final answer
    x = 2,810.19

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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.