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Finding the Fourth Proportional to 5,798.42, 8,004.84 and 4,469.18

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Solution

The fourth proportional to 5,798.42, 8,004.84 and 4,469.18 is: 6,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.42 : 8,004.84 = 4,469.18 : x
  2. Step 2: Convert to fraction form
    5,798.42/8,004.84 = 4,469.18/x
  3. Step 3: Cross multiply
    5,798.42x = 8,004.84 × 4,469.18
  4. Step 4: Simplify right side
    5,798.42x = 35,775,070.83
  5. Step 5: Solve for x
    x = 35,775,070.83/5,798.42
  6. Step 6: Final answer
    x = 6,169.80

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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.