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Finding the Fourth Proportional to 4,742.94, 7,110.39 and 1,967.88

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Solution

The fourth proportional to 4,742.94, 7,110.39 and 1,967.88 is: 2,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.94 : 7,110.39 = 1,967.88 : x
  2. Step 2: Convert to fraction form
    4,742.94/7,110.39 = 1,967.88/x
  3. Step 3: Cross multiply
    4,742.94x = 7,110.39 × 1,967.88
  4. Step 4: Simplify right side
    4,742.94x = 13,992,360.23
  5. Step 5: Solve for x
    x = 13,992,360.23/4,742.94
  6. Step 6: Final answer
    x = 2,950.15

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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.