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Finding the Fourth Proportional to 5,164.63, 7,747.04 and 1,269

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Solution

The fourth proportional to 5,164.63, 7,747.04 and 1,269 is: 1,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.63 : 7,747.04 = 1,269 : x
  2. Step 2: Convert to fraction form
    5,164.63/7,747.04 = 1,269/x
  3. Step 3: Cross multiply
    5,164.63x = 7,747.04 × 1,269
  4. Step 4: Simplify right side
    5,164.63x = 9,830,996.93
  5. Step 5: Solve for x
    x = 9,830,996.93/5,164.63
  6. Step 6: Final answer
    x = 1,903.52

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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.