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Finding the Fourth Proportional to 3,913.64, 5,866.51 and 2,453.82

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Solution

The fourth proportional to 3,913.64, 5,866.51 and 2,453.82 is: 3,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.64 : 5,866.51 = 2,453.82 : x
  2. Step 2: Convert to fraction form
    3,913.64/5,866.51 = 2,453.82/x
  3. Step 3: Cross multiply
    3,913.64x = 5,866.51 × 2,453.82
  4. Step 4: Simplify right side
    3,913.64x = 14,395,359.57
  5. Step 5: Solve for x
    x = 14,395,359.57/3,913.64
  6. Step 6: Final answer
    x = 3,678.25

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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.