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Finding the Fourth Proportional to 3,967.76, 5,955.16 and 2,214.12

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Solution

The fourth proportional to 3,967.76, 5,955.16 and 2,214.12 is: 3,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.76 : 5,955.16 = 2,214.12 : x
  2. Step 2: Convert to fraction form
    3,967.76/5,955.16 = 2,214.12/x
  3. Step 3: Cross multiply
    3,967.76x = 5,955.16 × 2,214.12
  4. Step 4: Simplify right side
    3,967.76x = 13,185,438.86
  5. Step 5: Solve for x
    x = 13,185,438.86/3,967.76
  6. Step 6: Final answer
    x = 3,323.14

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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.