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Finding the Fourth Proportional to 3,916.78, 5,878.09 and 1,576.80

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Solution

The fourth proportional to 3,916.78, 5,878.09 and 1,576.80 is: 2,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.78 : 5,878.09 = 1,576.80 : x
  2. Step 2: Convert to fraction form
    3,916.78/5,878.09 = 1,576.80/x
  3. Step 3: Cross multiply
    3,916.78x = 5,878.09 × 1,576.80
  4. Step 4: Simplify right side
    3,916.78x = 9,268,572.31
  5. Step 5: Solve for x
    x = 9,268,572.31/3,916.78
  6. Step 6: Final answer
    x = 2,366.38

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1.5x scale

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.