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Finding the Fourth Proportional to 5,948.91, 8,205.44 and 3,464.91

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Solution

The fourth proportional to 5,948.91, 8,205.44 and 3,464.91 is: 4,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.91 : 8,205.44 = 3,464.91 : x
  2. Step 2: Convert to fraction form
    5,948.91/8,205.44 = 3,464.91/x
  3. Step 3: Cross multiply
    5,948.91x = 8,205.44 × 3,464.91
  4. Step 4: Simplify right side
    5,948.91x = 28,431,093.79
  5. Step 5: Solve for x
    x = 28,431,093.79/5,948.91
  6. Step 6: Final answer
    x = 4,779.21

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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.