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Finding the Fourth Proportional to 4,885.96, 7,332.54 and 1,964.44

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Solution

The fourth proportional to 4,885.96, 7,332.54 and 1,964.44 is: 2,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.96 : 7,332.54 = 1,964.44 : x
  2. Step 2: Convert to fraction form
    4,885.96/7,332.54 = 1,964.44/x
  3. Step 3: Cross multiply
    4,885.96x = 7,332.54 × 1,964.44
  4. Step 4: Simplify right side
    4,885.96x = 14,404,334.88
  5. Step 5: Solve for x
    x = 14,404,334.88/4,885.96
  6. Step 6: Final answer
    x = 2,948.11

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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.