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Finding the Fourth Proportional to 5,071.68, 7,608.87 and 1,561.77

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Solution

The fourth proportional to 5,071.68, 7,608.87 and 1,561.77 is: 2,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.68 : 7,608.87 = 1,561.77 : x
  2. Step 2: Convert to fraction form
    5,071.68/7,608.87 = 1,561.77/x
  3. Step 3: Cross multiply
    5,071.68x = 7,608.87 × 1,561.77
  4. Step 4: Simplify right side
    5,071.68x = 11,883,304.90
  5. Step 5: Solve for x
    x = 11,883,304.90/5,071.68
  6. Step 6: Final answer
    x = 2,343.07

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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.