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Finding the Fourth Proportional to 4,617, 6,925.43 and 2,150.44

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Solution

The fourth proportional to 4,617, 6,925.43 and 2,150.44 is: 3,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617 : 6,925.43 = 2,150.44 : x
  2. Step 2: Convert to fraction form
    4,617/6,925.43 = 2,150.44/x
  3. Step 3: Cross multiply
    4,617x = 6,925.43 × 2,150.44
  4. Step 4: Simplify right side
    4,617x = 14,892,709.75
  5. Step 5: Solve for x
    x = 14,892,709.75/4,617
  6. Step 6: Final answer
    x = 3,225.62

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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.