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Finding the Fourth Proportional to 5,161.68, 7,707.56 and 4,053.60

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Solution

The fourth proportional to 5,161.68, 7,707.56 and 4,053.60 is: 6,052.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.68 : 7,707.56 = 4,053.60 : x
  2. Step 2: Convert to fraction form
    5,161.68/7,707.56 = 4,053.60/x
  3. Step 3: Cross multiply
    5,161.68x = 7,707.56 × 4,053.60
  4. Step 4: Simplify right side
    5,161.68x = 31,243,344.95
  5. Step 5: Solve for x
    x = 31,243,344.95/5,161.68
  6. Step 6: Final answer
    x = 6,052.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.