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Finding the Fourth Proportional to 5,805.84, 8,708.49 and 1,646.22

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Solution

The fourth proportional to 5,805.84, 8,708.49 and 1,646.22 is: 2,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.84 : 8,708.49 = 1,646.22 : x
  2. Step 2: Convert to fraction form
    5,805.84/8,708.49 = 1,646.22/x
  3. Step 3: Cross multiply
    5,805.84x = 8,708.49 × 1,646.22
  4. Step 4: Simplify right side
    5,805.84x = 14,336,090.41
  5. Step 5: Solve for x
    x = 14,336,090.41/5,805.84
  6. Step 6: Final answer
    x = 2,469.25

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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.