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Finding the Fourth Proportional to 4,584.62, 6,326.34 and 3,642.69

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Solution

The fourth proportional to 4,584.62, 6,326.34 and 3,642.69 is: 5,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.62 : 6,326.34 = 3,642.69 : x
  2. Step 2: Convert to fraction form
    4,584.62/6,326.34 = 3,642.69/x
  3. Step 3: Cross multiply
    4,584.62x = 6,326.34 × 3,642.69
  4. Step 4: Simplify right side
    4,584.62x = 23,044,919.18
  5. Step 5: Solve for x
    x = 23,044,919.18/4,584.62
  6. Step 6: Final answer
    x = 5,026.57

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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.