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Finding the Fourth Proportional to 5,922.84, 8,147.34 and 5,683.08

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Solution

The fourth proportional to 5,922.84, 8,147.34 and 5,683.08 is: 7,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.84 : 8,147.34 = 5,683.08 : x
  2. Step 2: Convert to fraction form
    5,922.84/8,147.34 = 5,683.08/x
  3. Step 3: Cross multiply
    5,922.84x = 8,147.34 × 5,683.08
  4. Step 4: Simplify right side
    5,922.84x = 46,301,985.01
  5. Step 5: Solve for x
    x = 46,301,985.01/5,922.84
  6. Step 6: Final answer
    x = 7,817.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.