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Finding the Fourth Proportional to 5,983.65, 8,260.43 and 4,636.26

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Solution

The fourth proportional to 5,983.65, 8,260.43 and 4,636.26 is: 6,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.65 : 8,260.43 = 4,636.26 : x
  2. Step 2: Convert to fraction form
    5,983.65/8,260.43 = 4,636.26/x
  3. Step 3: Cross multiply
    5,983.65x = 8,260.43 × 4,636.26
  4. Step 4: Simplify right side
    5,983.65x = 38,297,478.01
  5. Step 5: Solve for x
    x = 38,297,478.01/5,983.65
  6. Step 6: Final answer
    x = 6,400.35

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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.