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Finding the Fourth Proportional to 5,165.48, 7,748.22 and 1,269.96

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Solution

The fourth proportional to 5,165.48, 7,748.22 and 1,269.96 is: 1,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.48 : 7,748.22 = 1,269.96 : x
  2. Step 2: Convert to fraction form
    5,165.48/7,748.22 = 1,269.96/x
  3. Step 3: Cross multiply
    5,165.48x = 7,748.22 × 1,269.96
  4. Step 4: Simplify right side
    5,165.48x = 9,839,929.47
  5. Step 5: Solve for x
    x = 9,839,929.47/5,165.48
  6. Step 6: Final answer
    x = 1,904.94

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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.