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Finding the Fourth Proportional to 5,435.85, 8,190.32 and 4,916.43

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Solution

The fourth proportional to 5,435.85, 8,190.32 and 4,916.43 is: 7,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.85 : 8,190.32 = 4,916.43 : x
  2. Step 2: Convert to fraction form
    5,435.85/8,190.32 = 4,916.43/x
  3. Step 3: Cross multiply
    5,435.85x = 8,190.32 × 4,916.43
  4. Step 4: Simplify right side
    5,435.85x = 40,267,110.38
  5. Step 5: Solve for x
    x = 40,267,110.38/5,435.85
  6. Step 6: Final answer
    x = 7,407.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.