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Finding the Fourth Proportional to 5,302.36, 7,953.54 and 2,014.68

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Solution

The fourth proportional to 5,302.36, 7,953.54 and 2,014.68 is: 3,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.36 : 7,953.54 = 2,014.68 : x
  2. Step 2: Convert to fraction form
    5,302.36/7,953.54 = 2,014.68/x
  3. Step 3: Cross multiply
    5,302.36x = 7,953.54 × 2,014.68
  4. Step 4: Simplify right side
    5,302.36x = 16,023,837.97
  5. Step 5: Solve for x
    x = 16,023,837.97/5,302.36
  6. Step 6: Final answer
    x = 3,022.02

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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.