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Finding the Fourth Proportional to 4,390.54, 6,584.83 and 1,269.86

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Solution

The fourth proportional to 4,390.54, 6,584.83 and 1,269.86 is: 1,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,390.54 : 6,584.83 = 1,269.86 : x
  2. Step 2: Convert to fraction form
    4,390.54/6,584.83 = 1,269.86/x
  3. Step 3: Cross multiply
    4,390.54x = 6,584.83 × 1,269.86
  4. Step 4: Simplify right side
    4,390.54x = 8,361,776.13
  5. Step 5: Solve for x
    x = 8,361,776.13/4,390.54
  6. Step 6: Final answer
    x = 1,904.50

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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.