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Finding the Fourth Proportional to 3,775.87, 5,661.64 and 1,464.67

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Solution

The fourth proportional to 3,775.87, 5,661.64 and 1,464.67 is: 2,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.87 : 5,661.64 = 1,464.67 : x
  2. Step 2: Convert to fraction form
    3,775.87/5,661.64 = 1,464.67/x
  3. Step 3: Cross multiply
    3,775.87x = 5,661.64 × 1,464.67
  4. Step 4: Simplify right side
    3,775.87x = 8,292,434.26
  5. Step 5: Solve for x
    x = 8,292,434.26/3,775.87
  6. Step 6: Final answer
    x = 2,196.17

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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.