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Finding the Fourth Proportional to 5,251.35, 7,877.11 and 1,302.63

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Solution

The fourth proportional to 5,251.35, 7,877.11 and 1,302.63 is: 1,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.35 : 7,877.11 = 1,302.63 : x
  2. Step 2: Convert to fraction form
    5,251.35/7,877.11 = 1,302.63/x
  3. Step 3: Cross multiply
    5,251.35x = 7,877.11 × 1,302.63
  4. Step 4: Simplify right side
    5,251.35x = 10,260,959.80
  5. Step 5: Solve for x
    x = 10,260,959.80/5,251.35
  6. Step 6: Final answer
    x = 1,953.97

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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.