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Finding the Fourth Proportional to 3,802.23, 5,702.13 and 1,954.35

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Solution

The fourth proportional to 3,802.23, 5,702.13 and 1,954.35 is: 2,930.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.23 : 5,702.13 = 1,954.35 : x
  2. Step 2: Convert to fraction form
    3,802.23/5,702.13 = 1,954.35/x
  3. Step 3: Cross multiply
    3,802.23x = 5,702.13 × 1,954.35
  4. Step 4: Simplify right side
    3,802.23x = 11,143,957.77
  5. Step 5: Solve for x
    x = 11,143,957.77/3,802.23
  6. Step 6: Final answer
    x = 2,930.90

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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.