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Finding the Fourth Proportional to 3,916.58, 5,877.10 and 1,453.10

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Solution

The fourth proportional to 3,916.58, 5,877.10 and 1,453.10 is: 2,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.58 : 5,877.10 = 1,453.10 : x
  2. Step 2: Convert to fraction form
    3,916.58/5,877.10 = 1,453.10/x
  3. Step 3: Cross multiply
    3,916.58x = 5,877.10 × 1,453.10
  4. Step 4: Simplify right side
    3,916.58x = 8,540,014.01
  5. Step 5: Solve for x
    x = 8,540,014.01/3,916.58
  6. Step 6: Final answer
    x = 2,180.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.