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Finding the Fourth Proportional to 4,982.69, 7,427.14 and 4,823.53

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Solution

The fourth proportional to 4,982.69, 7,427.14 and 4,823.53 is: 7,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.69 : 7,427.14 = 4,823.53 : x
  2. Step 2: Convert to fraction form
    4,982.69/7,427.14 = 4,823.53/x
  3. Step 3: Cross multiply
    4,982.69x = 7,427.14 × 4,823.53
  4. Step 4: Simplify right side
    4,982.69x = 35,825,032.60
  5. Step 5: Solve for x
    x = 35,825,032.60/4,982.69
  6. Step 6: Final answer
    x = 7,189.90

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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.