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Finding the Fourth Proportional to 5,218.68, 7,828.05 and 1,323.08

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Solution

The fourth proportional to 5,218.68, 7,828.05 and 1,323.08 is: 1,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.68 : 7,828.05 = 1,323.08 : x
  2. Step 2: Convert to fraction form
    5,218.68/7,828.05 = 1,323.08/x
  3. Step 3: Cross multiply
    5,218.68x = 7,828.05 × 1,323.08
  4. Step 4: Simplify right side
    5,218.68x = 10,357,136.39
  5. Step 5: Solve for x
    x = 10,357,136.39/5,218.68
  6. Step 6: Final answer
    x = 1,984.63

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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.