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Finding the Fourth Proportional to 5,924.19, 8,176.02 and 3,406.41

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Solution

The fourth proportional to 5,924.19, 8,176.02 and 3,406.41 is: 4,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.19 : 8,176.02 = 3,406.41 : x
  2. Step 2: Convert to fraction form
    5,924.19/8,176.02 = 3,406.41/x
  3. Step 3: Cross multiply
    5,924.19x = 8,176.02 × 3,406.41
  4. Step 4: Simplify right side
    5,924.19x = 27,850,876.29
  5. Step 5: Solve for x
    x = 27,850,876.29/5,924.19
  6. Step 6: Final answer
    x = 4,701.21

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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.