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Finding the Fourth Proportional to 4,128.99, 5,693.70 and 3,184.93

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Solution

The fourth proportional to 4,128.99, 5,693.70 and 3,184.93 is: 4,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.99 : 5,693.70 = 3,184.93 : x
  2. Step 2: Convert to fraction form
    4,128.99/5,693.70 = 3,184.93/x
  3. Step 3: Cross multiply
    4,128.99x = 5,693.70 × 3,184.93
  4. Step 4: Simplify right side
    4,128.99x = 18,134,035.94
  5. Step 5: Solve for x
    x = 18,134,035.94/4,128.99
  6. Step 6: Final answer
    x = 4,391.88

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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.