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Finding the Fourth Proportional to 5,934.71, 8,190.51 and 3,416.92

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Solution

The fourth proportional to 5,934.71, 8,190.51 and 3,416.92 is: 4,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.71 : 8,190.51 = 3,416.92 : x
  2. Step 2: Convert to fraction form
    5,934.71/8,190.51 = 3,416.92/x
  3. Step 3: Cross multiply
    5,934.71x = 8,190.51 × 3,416.92
  4. Step 4: Simplify right side
    5,934.71x = 27,986,317.43
  5. Step 5: Solve for x
    x = 27,986,317.43/5,934.71
  6. Step 6: Final answer
    x = 4,715.70

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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.