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Finding the Fourth Proportional to 4,561.52, 6,842.16 and 1,274.64

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Solution

The fourth proportional to 4,561.52, 6,842.16 and 1,274.64 is: 1,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.52 : 6,842.16 = 1,274.64 : x
  2. Step 2: Convert to fraction form
    4,561.52/6,842.16 = 1,274.64/x
  3. Step 3: Cross multiply
    4,561.52x = 6,842.16 × 1,274.64
  4. Step 4: Simplify right side
    4,561.52x = 8,721,290.82
  5. Step 5: Solve for x
    x = 8,721,290.82/4,561.52
  6. Step 6: Final answer
    x = 1,911.93

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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.