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Finding the Fourth Proportional to 3,313.64, 4,572.50 and 1,916.36

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Solution

The fourth proportional to 3,313.64, 4,572.50 and 1,916.36 is: 2,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.64 : 4,572.50 = 1,916.36 : x
  2. Step 2: Convert to fraction form
    3,313.64/4,572.50 = 1,916.36/x
  3. Step 3: Cross multiply
    3,313.64x = 4,572.50 × 1,916.36
  4. Step 4: Simplify right side
    3,313.64x = 8,762,556.10
  5. Step 5: Solve for x
    x = 8,762,556.10/3,313.64
  6. Step 6: Final answer
    x = 2,644.39

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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.