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Finding the Fourth Proportional to 3,256.96, 4,885.44 and 950.08

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Solution

The fourth proportional to 3,256.96, 4,885.44 and 950.08 is: 1,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.96 : 4,885.44 = 950.08 : x
  2. Step 2: Convert to fraction form
    3,256.96/4,885.44 = 950.08/x
  3. Step 3: Cross multiply
    3,256.96x = 4,885.44 × 950.08
  4. Step 4: Simplify right side
    3,256.96x = 4,641,558.84
  5. Step 5: Solve for x
    x = 4,641,558.84/3,256.96
  6. Step 6: Final answer
    x = 1,425.12

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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.