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Finding the Fourth Proportional to 5,984.86, 8,259.56 and 3,467.65

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Solution

The fourth proportional to 5,984.86, 8,259.56 and 3,467.65 is: 4,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.86 : 8,259.56 = 3,467.65 : x
  2. Step 2: Convert to fraction form
    5,984.86/8,259.56 = 3,467.65/x
  3. Step 3: Cross multiply
    5,984.86x = 8,259.56 × 3,467.65
  4. Step 4: Simplify right side
    5,984.86x = 28,641,263.23
  5. Step 5: Solve for x
    x = 28,641,263.23/5,984.86
  6. Step 6: Final answer
    x = 4,785.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.