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Finding the Fourth Proportional to 5,133.47, 7,693.81 and 2,357.19

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Solution

The fourth proportional to 5,133.47, 7,693.81 and 2,357.19 is: 3,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.47 : 7,693.81 = 2,357.19 : x
  2. Step 2: Convert to fraction form
    5,133.47/7,693.81 = 2,357.19/x
  3. Step 3: Cross multiply
    5,133.47x = 7,693.81 × 2,357.19
  4. Step 4: Simplify right side
    5,133.47x = 18,135,771.99
  5. Step 5: Solve for x
    x = 18,135,771.99/5,133.47
  6. Step 6: Final answer
    x = 3,532.85

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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.