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Finding the Fourth Proportional to 5,213.52, 7,808.88 and 3,256.14

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Solution

The fourth proportional to 5,213.52, 7,808.88 and 3,256.14 is: 4,877.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.52 : 7,808.88 = 3,256.14 : x
  2. Step 2: Convert to fraction form
    5,213.52/7,808.88 = 3,256.14/x
  3. Step 3: Cross multiply
    5,213.52x = 7,808.88 × 3,256.14
  4. Step 4: Simplify right side
    5,213.52x = 25,426,806.52
  5. Step 5: Solve for x
    x = 25,426,806.52/5,213.52
  6. Step 6: Final answer
    x = 4,877.09

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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.