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Finding the Fourth Proportional to 4,542.81, 6,809.22 and 2,590.71

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Solution

The fourth proportional to 4,542.81, 6,809.22 and 2,590.71 is: 3,883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.81 : 6,809.22 = 2,590.71 : x
  2. Step 2: Convert to fraction form
    4,542.81/6,809.22 = 2,590.71/x
  3. Step 3: Cross multiply
    4,542.81x = 6,809.22 × 2,590.71
  4. Step 4: Simplify right side
    4,542.81x = 17,640,714.35
  5. Step 5: Solve for x
    x = 17,640,714.35/4,542.81
  6. Step 6: Final answer
    x = 3,883.22

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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.