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Finding the Fourth Proportional to 4,684.58, 6,464.17 and 2,588.58

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Solution

The fourth proportional to 4,684.58, 6,464.17 and 2,588.58 is: 3,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.58 : 6,464.17 = 2,588.58 : x
  2. Step 2: Convert to fraction form
    4,684.58/6,464.17 = 2,588.58/x
  3. Step 3: Cross multiply
    4,684.58x = 6,464.17 × 2,588.58
  4. Step 4: Simplify right side
    4,684.58x = 16,733,021.18
  5. Step 5: Solve for x
    x = 16,733,021.18/4,684.58
  6. Step 6: Final answer
    x = 3,571.94

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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.