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Finding the Fourth Proportional to 5,362.76, 8,044.50 and 1,665.02

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Solution

The fourth proportional to 5,362.76, 8,044.50 and 1,665.02 is: 2,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.76 : 8,044.50 = 1,665.02 : x
  2. Step 2: Convert to fraction form
    5,362.76/8,044.50 = 1,665.02/x
  3. Step 3: Cross multiply
    5,362.76x = 8,044.50 × 1,665.02
  4. Step 4: Simplify right side
    5,362.76x = 13,394,253.39
  5. Step 5: Solve for x
    x = 13,394,253.39/5,362.76
  6. Step 6: Final answer
    x = 2,497.64

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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.