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Finding the Fourth Proportional to 4,165.47, 6,249.15 and 1,243.53

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Solution

The fourth proportional to 4,165.47, 6,249.15 and 1,243.53 is: 1,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.47 : 6,249.15 = 1,243.53 : x
  2. Step 2: Convert to fraction form
    4,165.47/6,249.15 = 1,243.53/x
  3. Step 3: Cross multiply
    4,165.47x = 6,249.15 × 1,243.53
  4. Step 4: Simplify right side
    4,165.47x = 7,771,005.50
  5. Step 5: Solve for x
    x = 7,771,005.50/4,165.47
  6. Step 6: Final answer
    x = 1,865.58

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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.