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Finding the Fourth Proportional to 3,696.26, 5,098.94 and 2,123.40

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Solution

The fourth proportional to 3,696.26, 5,098.94 and 2,123.40 is: 2,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.26 : 5,098.94 = 2,123.40 : x
  2. Step 2: Convert to fraction form
    3,696.26/5,098.94 = 2,123.40/x
  3. Step 3: Cross multiply
    3,696.26x = 5,098.94 × 2,123.40
  4. Step 4: Simplify right side
    3,696.26x = 10,827,089.20
  5. Step 5: Solve for x
    x = 10,827,089.20/3,696.26
  6. Step 6: Final answer
    x = 2,929.20

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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.