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Finding the Fourth Proportional to 5,281.24, 7,916.63 and 2,942.32

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Solution

The fourth proportional to 5,281.24, 7,916.63 and 2,942.32 is: 4,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.24 : 7,916.63 = 2,942.32 : x
  2. Step 2: Convert to fraction form
    5,281.24/7,916.63 = 2,942.32/x
  3. Step 3: Cross multiply
    5,281.24x = 7,916.63 × 2,942.32
  4. Step 4: Simplify right side
    5,281.24x = 23,293,258.78
  5. Step 5: Solve for x
    x = 23,293,258.78/5,281.24
  6. Step 6: Final answer
    x = 4,410.57

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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.