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Finding the Fourth Proportional to 3,927.30, 5,880.39 and 3,429.01

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Solution

The fourth proportional to 3,927.30, 5,880.39 and 3,429.01 is: 5,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.30 : 5,880.39 = 3,429.01 : x
  2. Step 2: Convert to fraction form
    3,927.30/5,880.39 = 3,429.01/x
  3. Step 3: Cross multiply
    3,927.30x = 5,880.39 × 3,429.01
  4. Step 4: Simplify right side
    3,927.30x = 20,163,916.11
  5. Step 5: Solve for x
    x = 20,163,916.11/3,927.30
  6. Step 6: Final answer
    x = 5,134.29

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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.