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Finding the Fourth Proportional to 3,907.68, 5,863.96 and 3,610.16

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Solution

The fourth proportional to 3,907.68, 5,863.96 and 3,610.16 is: 5,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.68 : 5,863.96 = 3,610.16 : x
  2. Step 2: Convert to fraction form
    3,907.68/5,863.96 = 3,610.16/x
  3. Step 3: Cross multiply
    3,907.68x = 5,863.96 × 3,610.16
  4. Step 4: Simplify right side
    3,907.68x = 21,169,833.83
  5. Step 5: Solve for x
    x = 21,169,833.83/3,907.68
  6. Step 6: Final answer
    x = 5,417.49

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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.