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Finding the Fourth Proportional to 4,661.92, 6,978.39 and 3,484.99

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Solution

The fourth proportional to 4,661.92, 6,978.39 and 3,484.99 is: 5,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.92 : 6,978.39 = 3,484.99 : x
  2. Step 2: Convert to fraction form
    4,661.92/6,978.39 = 3,484.99/x
  3. Step 3: Cross multiply
    4,661.92x = 6,978.39 × 3,484.99
  4. Step 4: Simplify right side
    4,661.92x = 24,319,619.37
  5. Step 5: Solve for x
    x = 24,319,619.37/4,661.92
  6. Step 6: Final answer
    x = 5,216.65

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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.