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Finding the Fourth Proportional to 4,666.32, 6,978.60 and 4,149.54

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Solution

The fourth proportional to 4,666.32, 6,978.60 and 4,149.54 is: 6,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.32 : 6,978.60 = 4,149.54 : x
  2. Step 2: Convert to fraction form
    4,666.32/6,978.60 = 4,149.54/x
  3. Step 3: Cross multiply
    4,666.32x = 6,978.60 × 4,149.54
  4. Step 4: Simplify right side
    4,666.32x = 28,957,979.84
  5. Step 5: Solve for x
    x = 28,957,979.84/4,666.32
  6. Step 6: Final answer
    x = 6,205.74

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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.