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Finding the Fourth Proportional to 5,276.35, 7,916.26 and 1,768.01

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Solution

The fourth proportional to 5,276.35, 7,916.26 and 1,768.01 is: 2,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.35 : 7,916.26 = 1,768.01 : x
  2. Step 2: Convert to fraction form
    5,276.35/7,916.26 = 1,768.01/x
  3. Step 3: Cross multiply
    5,276.35x = 7,916.26 × 1,768.01
  4. Step 4: Simplify right side
    5,276.35x = 13,996,021.54
  5. Step 5: Solve for x
    x = 13,996,021.54/5,276.35
  6. Step 6: Final answer
    x = 2,652.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.