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Finding the Fourth Proportional to 4,561.71, 6,842.56 and 1,274.39

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Solution

The fourth proportional to 4,561.71, 6,842.56 and 1,274.39 is: 1,911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.71 : 6,842.56 = 1,274.39 : x
  2. Step 2: Convert to fraction form
    4,561.71/6,842.56 = 1,274.39/x
  3. Step 3: Cross multiply
    4,561.71x = 6,842.56 × 1,274.39
  4. Step 4: Simplify right side
    4,561.71x = 8,720,090.04
  5. Step 5: Solve for x
    x = 8,720,090.04/4,561.71
  6. Step 6: Final answer
    x = 1,911.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.