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Finding the Fourth Proportional to 6,434.80, 8,880.37 and 3,916.51

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Solution

The fourth proportional to 6,434.80, 8,880.37 and 3,916.51 is: 5,404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.80 : 8,880.37 = 3,916.51 : x
  2. Step 2: Convert to fraction form
    6,434.80/8,880.37 = 3,916.51/x
  3. Step 3: Cross multiply
    6,434.80x = 8,880.37 × 3,916.51
  4. Step 4: Simplify right side
    6,434.80x = 34,780,025.92
  5. Step 5: Solve for x
    x = 34,780,025.92/6,434.80
  6. Step 6: Final answer
    x = 5,404.99

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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.