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Finding the Fourth Proportional to 4,652.48, 6,978.60 and 1,142.48

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Solution

The fourth proportional to 4,652.48, 6,978.60 and 1,142.48 is: 1,713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.48 : 6,978.60 = 1,142.48 : x
  2. Step 2: Convert to fraction form
    4,652.48/6,978.60 = 1,142.48/x
  3. Step 3: Cross multiply
    4,652.48x = 6,978.60 × 1,142.48
  4. Step 4: Simplify right side
    4,652.48x = 7,972,910.93
  5. Step 5: Solve for x
    x = 7,972,910.93/4,652.48
  6. Step 6: Final answer
    x = 1,713.69

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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.