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Finding the Fourth Proportional to 5,661.24, 8,434.47 and 5,382.41

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Solution

The fourth proportional to 5,661.24, 8,434.47 and 5,382.41 is: 8,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.24 : 8,434.47 = 5,382.41 : x
  2. Step 2: Convert to fraction form
    5,661.24/8,434.47 = 5,382.41/x
  3. Step 3: Cross multiply
    5,661.24x = 8,434.47 × 5,382.41
  4. Step 4: Simplify right side
    5,661.24x = 45,397,733.50
  5. Step 5: Solve for x
    x = 45,397,733.50/5,661.24
  6. Step 6: Final answer
    x = 8,019.04

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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.