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Finding the Fourth Proportional to 3,916.01, 5,406.18 and 2,663.75

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Solution

The fourth proportional to 3,916.01, 5,406.18 and 2,663.75 is: 3,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.01 : 5,406.18 = 2,663.75 : x
  2. Step 2: Convert to fraction form
    3,916.01/5,406.18 = 2,663.75/x
  3. Step 3: Cross multiply
    3,916.01x = 5,406.18 × 2,663.75
  4. Step 4: Simplify right side
    3,916.01x = 14,400,715.50
  5. Step 5: Solve for x
    x = 14,400,715.50/3,916.01
  6. Step 6: Final answer
    x = 3,677.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.