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Finding the Fourth Proportional to 5,322.96, 7,984.76 and 2,035.80

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Solution

The fourth proportional to 5,322.96, 7,984.76 and 2,035.80 is: 3,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.96 : 7,984.76 = 2,035.80 : x
  2. Step 2: Convert to fraction form
    5,322.96/7,984.76 = 2,035.80/x
  3. Step 3: Cross multiply
    5,322.96x = 7,984.76 × 2,035.80
  4. Step 4: Simplify right side
    5,322.96x = 16,255,364.23
  5. Step 5: Solve for x
    x = 16,255,364.23/5,322.96
  6. Step 6: Final answer
    x = 3,053.82

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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.