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Finding the Fourth Proportional to 3,916.50, 5,407.29 and 3,496.13

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Solution

The fourth proportional to 3,916.50, 5,407.29 and 3,496.13 is: 4,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.50 : 5,407.29 = 3,496.13 : x
  2. Step 2: Convert to fraction form
    3,916.50/5,407.29 = 3,496.13/x
  3. Step 3: Cross multiply
    3,916.50x = 5,407.29 × 3,496.13
  4. Step 4: Simplify right side
    3,916.50x = 18,904,602.31
  5. Step 5: Solve for x
    x = 18,904,602.31/3,916.50
  6. Step 6: Final answer
    x = 4,826.91

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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.