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Finding the Fourth Proportional to 5,339.63, 8,004.09 and 1,827.24

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Solution

The fourth proportional to 5,339.63, 8,004.09 and 1,827.24 is: 2,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.63 : 8,004.09 = 1,827.24 : x
  2. Step 2: Convert to fraction form
    5,339.63/8,004.09 = 1,827.24/x
  3. Step 3: Cross multiply
    5,339.63x = 8,004.09 × 1,827.24
  4. Step 4: Simplify right side
    5,339.63x = 14,625,393.41
  5. Step 5: Solve for x
    x = 14,625,393.41/5,339.63
  6. Step 6: Final answer
    x = 2,739.03

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1.5x scale

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.