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Finding the Fourth Proportional to 3,495.80, 5,239.04 and 1,302.32

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Solution

The fourth proportional to 3,495.80, 5,239.04 and 1,302.32 is: 1,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.80 : 5,239.04 = 1,302.32 : x
  2. Step 2: Convert to fraction form
    3,495.80/5,239.04 = 1,302.32/x
  3. Step 3: Cross multiply
    3,495.80x = 5,239.04 × 1,302.32
  4. Step 4: Simplify right side
    3,495.80x = 6,822,906.57
  5. Step 5: Solve for x
    x = 6,822,906.57/3,495.80
  6. Step 6: Final answer
    x = 1,951.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.